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4440010120440 = 2335234014011719
BaseRepresentation
bin100000010011100010100…
…1110011101110011111000
3120201110102221100210001120
41000213011032131303320
51040221120042323230
613235413521545240
7635531406215436
oct100470516356370
916643387323046
104440010120440
111461aa7a64704
125b86064a5220
132628ca62094b
14114c7d185d56
157a7651d9310
hex409c539dcf8

4440010120440 has 128 divisors (see below), whose sum is σ = 13933826841600. Its totient is φ = 1129699788800.

The previous prime is 4440010120267. The next prime is 4440010120493. The reversal of 4440010120440 is 440210100444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4440010120440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899100 + ... + 3112619.

It is an arithmetic number, because the mean of its divisors is an integer number (108858022200).

Almost surely, 24440010120440 is an apocalyptic number.

4440010120440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440010120440 is an abundant number, since it is smaller than the sum of its proper divisors (9493816721160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4440010120440 is a wasteful number, since it uses less digits than its factorization.

4440010120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012157 (or 4012153 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4440010120440 its reverse (440210100444), we get a palindrome (4880220220884).

The spelling of 4440010120440 in words is "four trillion, four hundred forty billion, ten million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 401 460 552 690 802 920 1203 1380 1604 2005 2406 2760 3208 4010 4812 6015 8020 9223 9624 12030 16040 18446 24060 27669 36892 46115 48120 55338 73784 92230 110676 138345 184460 221352 276690 368920 553380 1106760 4011719 8023438 12035157 16046876 20058595 24070314 32093752 40117190 48140628 60175785 80234380 92269537 96281256 120351570 160468760 184539074 240703140 276808611 369078148 461347685 481406280 553617222 738156296 922695370 1107234444 1384043055 1608699319 1845390740 2214468888 2768086110 3217398638 3690781480 4826097957 5536172220 6434797276 8043496595 9652195914 11072344440 12869594552 16086993190 19304391828 24130489785 32173986380 37000084337 38608783656 48260979570 64347972760 74000168674 96521959140 111000253011 148000337348 185000421685 193043918280 222000506022 296000674696 370000843370 444001012044 555001265055 740001686740 888002024088 1110002530110 1480003373480 2220005060220 4440010120440