204025221640224 has 72 divisors (see below), whose sum is σ = 580198144246812. Its totient is φ = 68008240742400.

The previous prime is 204025221640151. The next prime is 204025221640277. The reversal of 204025221640224 is 422046122520402.

204025221640224 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 5 + 2 + 2 + 1 + 640 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203640548791824 + 384672848400 = 14270268^2 + 620220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 189217824 + ... + 190293024.

Almost surely, 2^{204025221640224} is an apocalyptic number.

204025221640224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204025221640224 is an abundant number, since it is smaller than the sum of its proper divisors (376172922606588).

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

204025221640224 is a wasteful number, since it uses less digits than its factorization.

204025221640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734090 (or 1734079 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 204025221640224 in words is "two hundred four trillion, twenty-five billion, two hundred twenty-one million, six hundred forty thousand, two hundred twenty-four".