104504612549040 has 2400 divisors, whose sum is σ = 431441808956928. Its totient is φ = 23204114841600.

The previous prime is 104504612549039. The next prime is 104504612549069. The reversal of 104504612549040 is 40945216405401.

104504612549040 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 4 + 61 + 2 + 549 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 178031707627 + ... + 178031708213.

Almost surely, 2^{104504612549040} is an apocalyptic number.

104504612549040 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 104504612549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215720904478464).

104504612549040 is an abundant number, since it is smaller than the sum of its proper divisors (326937196407888).

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

104504612549040 is a wasteful number, since it uses less digits than its factorization.

104504612549040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 104504612549040 in words is "one hundred four trillion, five hundred four billion, six hundred twelve million, five hundred forty-nine thousand, forty".