204420400031000 has 64 divisors (see below), whose sum is σ = 478362087478080. Its totient is φ = 81765023020800.

The previous prime is 204420400030997. The next prime is 204420400031011. The reversal of 204420400031000 is 130004024402.

It is a super-2 number, since 2×204420400031000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22244837 + ... + 30061163.

It is an arithmetic number, because the mean of its divisors is an integer number (7474407616845).

Almost surely, 2^{204420400031000} is an apocalyptic number.

204420400031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204420400031000 is an abundant number, since it is smaller than the sum of its proper divisors (273941687447080).

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

204420400031000 is a wasteful number, since it uses less digits than its factorization.

204420400031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842501 (or 7842487 counting only the distinct ones).

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

Adding to 204420400031000 its reverse (130004024402), we get a palindrome (204550404055402).

The spelling of 204420400031000 in words is "two hundred four trillion, four hundred twenty billion, four hundred million, thirty-one thousand".