104165893440 has 504 divisors, whose sum is σ = 431171924040. Its totient is φ = 22987431936.

The previous prime is 104165893421. The next prime is 104165893459. The reversal of 104165893440 is 44398561401.

104165893440 is a `hidden beast` number, since 10 + 4 + 16 + 589 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (104165893421) and next prime (104165893459).

It can be written as a sum of positive squares in 4 ways, for example, as 10779422976 + 93386470464 = 103824^2 + 305592^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4079754 + ... + 4105206.

Almost surely, 2^104165893440 is an apocalyptic number.

104165893440 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 104165893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215585962020).

104165893440 is an abundant number, since it is smaller than the sum of its proper divisors (327006030600).

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

104165893440 is a wasteful number, since it uses less digits than its factorization.

104165893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25519 (or 25499 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 104165893440 in words is "one hundred four billion, one hundred sixty-five million, eight hundred ninety-three thousand, four hundred forty".