204391421312904 has 384 divisors, whose sum is σ = 678432029184000. Its totient is φ = 54258782902272.

The previous prime is 204391421312891. The next prime is 204391421312963. The reversal of 204391421312904 is 409213124193402.

204391421312904 is a `hidden beast` number, since 2 + 0 + 4 + 391 + 42 + 131 + 2 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 204391421312904.

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, 5779792327 + ... + 5779827689.

It is an arithmetic number, because the mean of its divisors is an integer number (1766750076000).

Almost surely, 2^{204391421312904} is an apocalyptic number.

204391421312904 is a gapful number since it is divisible by the number (24) 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 204391421312904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339216014592000).

204391421312904 is an abundant number, since it is smaller than the sum of its proper divisors (474040607871096).

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

204391421312904 is a wasteful number, since it uses less digits than its factorization.

204391421312904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44017 (or 44010 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 204391421312904 in words is "two hundred four trillion, three hundred ninety-one billion, four hundred twenty-one million, three hundred twelve thousand, nine hundred four".