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41410120440 = 23351355747657
BaseRepresentation
bin100110100100001111…
…000100101011111000
310221212221110002002110
4212210033010223320
51134301442323230
631005030332320
72664116134053
oct464417045370
9127787402073
1041410120440
111661aa2a437
1280381ba0a0
133b9c265660
14200b995a9a
1511256ca4b0
hex9a43c4af8

41410120440 has 128 divisors (see below), whose sum is σ = 134029546560. Its totient is φ = 10174746624.

The previous prime is 41410120369. The next prime is 41410120441. The reversal of 41410120440 is 4402101414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41410120441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845092 + ... + 892748.

Almost surely, 241410120440 is an apocalyptic number.

41410120440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41410120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67014773280).

41410120440 is an abundant number, since it is smaller than the sum of its proper divisors (92619426120).

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

41410120440 is a wasteful number, since it uses less digits than its factorization.

41410120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48241 (or 48237 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41410120440 its reverse (4402101414), we get a palindrome (45812221854).

The spelling of 41410120440 in words is "forty-one billion, four hundred ten million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 557 780 1114 1560 1671 2228 2785 3342 4456 5570 6684 7241 8355 11140 13368 14482 16710 21723 22280 28964 33420 36205 43446 47657 57928 66840 72410 86892 95314 108615 142971 144820 173784 190628 217230 238285 285942 289640 381256 434460 476570 571884 619541 714855 868920 953140 1143768 1239082 1429710 1858623 1906280 2478164 2859420 3097705 3717246 4956328 5718840 6195410 7434492 9293115 12390820 14868984 18586230 24781640 26544949 37172460 53089898 74344920 79634847 106179796 132724745 159269694 212359592 265449490 318539388 345084337 398174235 530898980 637078776 690168674 796348470 1035253011 1061797960 1380337348 1592696940 1725421685 2070506022 2760674696 3185393880 3450843370 4141012044 5176265055 6901686740 8282024088 10352530110 13803373480 20705060220 41410120440