204626125040 has 60 divisors (see below), whose sum is σ = 483683575752. Its totient is φ = 80508522240.

The previous prime is 204626125031. The next prime is 204626125049. The reversal of 204626125040 is 40521626402.

204626125040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204626125031) and next prime (204626125049).

It is a junction number, because it is equal to n+sod(n) for n = 204626124988 and 204626125006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204626125049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46022 + ... + 641381.

Almost surely, 2^204626125040 is an apocalyptic number.

204626125040 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 204626125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241841787876).

204626125040 is an abundant number, since it is smaller than the sum of its proper divisors (279057450712).

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

204626125040 is an equidigital number, since it uses as much as digits as its factorization.

204626125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687538 (or 687471 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 204626125040 in words is "two hundred four billion, six hundred twenty-six million, one hundred twenty-five thousand, forty".