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40400041440 = 2535112695593
BaseRepresentation
bin100101101000000001…
…111011010111100000
310212021112210202012010
4211220001323113200
51130214402311230
630320505032520
72630102454243
oct455001732740
9125245722163
1040400041440
1116151852100
1279b5a85740
133a6ac09985
141d5378325a
1510b6ba79b0
hex96807b5e0

40400041440 has 144 divisors (see below), whose sum is σ = 139881171024. Its totient is φ = 9793935360.

The previous prime is 40400041439. The next prime is 40400041447. The reversal of 40400041440 is 4414000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400041447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289717 + ... + 405876.

It is an arithmetic number, because the mean of its divisors is an integer number (971397021).

Almost surely, 240400041440 is an apocalyptic number.

40400041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400041440 is an abundant number, since it is smaller than the sum of its proper divisors (99481129584).

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

40400041440 is a wasteful number, since it uses less digits than its factorization.

40400041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695633 (or 695614 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40400041440 its reverse (4414000404), we get a palindrome (44814041844).

The spelling of 40400041440 in words is "forty billion, four hundred million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 695593 1391186 2086779 2782372 3477965 4173558 5564744 6955930 7651523 8347116 10433895 11129488 13911860 15303046 16694232 20867790 22258976 22954569 27823720 30606092 33388464 38257615 41735580 45909138 55647440 61212184 66776928 76515230 83471160 84166753 91818276 111294880 114772845 122424368 153030460 166942320 168333506 183636552 229545690 244848736 252500259 306060920 333884640 336667012 367273104 420833765 459091380 505000518 612121840 673334024 734546208 841667530 918182760 1010001036 1224243680 1262501295 1346668048 1683335060 1836365520 2020002072 2525002590 2693336096 3366670120 3672731040 4040004144 5050005180 6733340240 8080008288 10100010360 13466680480 20200020720 40400041440