204114452350400 has 84 divisors (see below), whose sum is σ = 531793190521728. Its totient is φ = 76843087933440.

The previous prime is 204114452350387. The next prime is 204114452350409. The reversal of 204114452350400 is 4053254411402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114452350409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3752076704 + ... + 3752131103.

Almost surely, 2^{204114452350400} is an apocalyptic number.

204114452350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204114452350400 is an abundant number, since it is smaller than the sum of its proper divisors (327678738171328).

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

204114452350400 is a wasteful number, since it uses less digits than its factorization.

204114452350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504207846 (or 7504207831 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 204114452350400 in words is "two hundred four trillion, one hundred fourteen billion, four hundred fifty-two million, three hundred fifty thousand, four hundred".