104317597440 has 864 divisors, whose sum is σ = 434108808000. Its totient is φ = 23651647488.

The previous prime is 104317597411. The next prime is 104317597469. The reversal of 104317597440 is 44795713401.

It is a happy number.

104317597440 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 17 + 597 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (104317597411) and next prime (104317597469).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×104317597440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387797626 + ... + 387797894.

It is an arithmetic number, because the mean of its divisors is an integer number (502440750).

Almost surely, 2^104317597440 is an apocalyptic number.

104317597440 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 104317597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217054404000).

104317597440 is an abundant number, since it is smaller than the sum of its proper divisors (329791210560).

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

104317597440 is a wasteful number, since it uses less digits than its factorization.

104317597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 104317597440 in words is "one hundred four billion, three hundred seventeen million, five hundred ninety-seven thousand, four hundred forty".