204024311400 has 384 divisors, whose sum is σ = 803548569600. Its totient is φ = 41657932800.

The previous prime is 204024311389. The next prime is 204024311417. The reversal of 204024311400 is 4113420402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632331 + ... + 1752869.

It is an arithmetic number, because the mean of its divisors is an integer number (2092574400).

Almost surely, 2^204024311400 is an apocalyptic number.

204024311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204024311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401774284800).

204024311400 is an abundant number, since it is smaller than the sum of its proper divisors (599524258200).

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

204024311400 is a wasteful number, since it uses less digits than its factorization.

204024311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120609 (or 120600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 204024311400 its reverse (4113420402), we get a palindrome (208137731802).

The spelling of 204024311400 in words is "two hundred four billion, twenty-four million, three hundred eleven thousand, four hundred".