104264040960 has 720 divisors, whose sum is σ = 396494151768. Its totient is φ = 25232670720.

The previous prime is 104264040941. The next prime is 104264040989. The reversal of 104264040960 is 69040462401.

104264040960 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 640 + 4 + 0 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80774187264 + 23489853696 = 284208^2 + 153264^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 376404342 + ... + 376404618.

Almost surely, 2^104264040960 is an apocalyptic number.

104264040960 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 104264040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198247075884).

104264040960 is an abundant number, since it is smaller than the sum of its proper divisors (292230110808).

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

104264040960 is a wasteful number, since it uses less digits than its factorization.

104264040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 104264040960 in words is "one hundred four billion, two hundred sixty-four million, forty thousand, nine hundred sixty".