204024310400040 has 256 divisors, whose sum is σ = 662890252550400. Its totient is φ = 49936857882624.

The previous prime is 204024310400039. The next prime is 204024310400077. The reversal of 204024310400040 is 40004013420402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5237685204 + ... + 5237724156.

It is an arithmetic number, because the mean of its divisors is an integer number (2589415049025).

Almost surely, 2^{204024310400040} is an apocalyptic number.

204024310400040 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 204024310400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331445126275200).

204024310400040 is an abundant number, since it is smaller than the sum of its proper divisors (458865942150360).

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

204024310400040 is a wasteful number, since it uses less digits than its factorization.

204024310400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57916 (or 57912 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204024310400040 its reverse (40004013420402), we get a palindrome (244028323820442).

The spelling of 204024310400040 in words is "two hundred four trillion, twenty-four billion, three hundred ten million, four hundred thousand, forty".