104040020400 has 480 divisors, whose sum is σ = 361680422400. Its totient is φ = 25469337600.

The previous prime is 104040020339. The next prime is 104040020453. The reversal of 104040020400 is 4020040401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104040020400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157875271 + ... + 157875929.

It is an arithmetic number, because the mean of its divisors is an integer number (753500880).

Almost surely, 2^104040020400 is an apocalyptic number.

104040020400 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 104040020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180840211200).

104040020400 is an abundant number, since it is smaller than the sum of its proper divisors (257640402000).

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

104040020400 is a wasteful number, since it uses less digits than its factorization.

104040020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 104040020400 its reverse (4020040401), we get a palindrome (108060060801).

The spelling of 104040020400 in words is "one hundred four billion, forty million, twenty thousand, four hundred".