104291187517440 has 6912 divisors, whose sum is σ = 523920395980800. Its totient is φ = 19218164613120.

The previous prime is 104291187517337. The next prime is 104291187517469. The reversal of 104291187517440 is 44715781192401.

104291187517440 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 9 + 1 + 1 + 87 + 517 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1556584888287 + ... + 1556584888353.

It is an arithmetic number, because the mean of its divisors is an integer number (75798668400).

Almost surely, 2^{104291187517440} is an apocalyptic number.

104291187517440 is a gapful number since it is divisible by the number (10) 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 104291187517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261960197990400).

104291187517440 is an abundant number, since it is smaller than the sum of its proper divisors (419629208463360).

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

104291187517440 is a wasteful number, since it uses less digits than its factorization.

104291187517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 104291187517440 in words is "one hundred four trillion, two hundred ninety-one billion, one hundred eighty-seven million, five hundred seventeen thousand, four hundred forty".