204132400400 has 60 divisors (see below), whose sum is σ = 491236630272. Its totient is φ = 81518344320.

The previous prime is 204132400379. The next prime is 204132400427. The reversal of 204132400400 is 4004231402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177572 + ... + 663171.

Almost surely, 2^204132400400 is an apocalyptic number.

204132400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204132400400 is an abundant number, since it is smaller than the sum of its proper divisors (287104229872).

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

204132400400 is a wasteful number, since it uses less digits than its factorization.

204132400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841368 (or 841357 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204132400400 its reverse (4004231402), we get a palindrome (208136631802).

The spelling of 204132400400 in words is "two hundred four billion, one hundred thirty-two million, four hundred thousand, four hundred".