204413666400 has 108 divisors (see below), whose sum is σ = 720813716532. Its totient is φ = 54510309120.

The previous prime is 204413666381. The next prime is 204413666411. The reversal of 204413666400 is 4666314402.

It is a super-2 number, since 2×204413666400² (a number of 23 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 14188194 + ... + 14202593.

It is an arithmetic number, because the mean of its divisors is an integer number (6674201079).

Almost surely, 2^204413666400 is an apocalyptic number.

204413666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204413666400 is an abundant number, since it is smaller than the sum of its proper divisors (516400050132).

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

204413666400 is a wasteful number, since it uses less digits than its factorization.

204413666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28390813 (or 28390797 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 204413666400 in words is "two hundred four billion, four hundred thirteen million, six hundred sixty-six thousand, four hundred".