204131012640 has 48 divisors (see below), whose sum is σ = 643012691328. Its totient is φ = 54434936576.

The previous prime is 204131012639. The next prime is 204131012647. The reversal of 204131012640 is 46210131402.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 204131012640.

It is not an unprimeable number, because it can be changed into a prime (204131012647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212635992 + ... + 212636951.

It is an arithmetic number, because the mean of its divisors is an integer number (13396097736).

Almost surely, 2^204131012640 is an apocalyptic number.

204131012640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204131012640 is an abundant number, since it is smaller than the sum of its proper divisors (438881678688).

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

204131012640 is a wasteful number, since it uses less digits than its factorization.

204131012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425272961 (or 425272953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 204131012640 in words is "two hundred four billion, one hundred thirty-one million, twelve thousand, six hundred forty".