204068012929440 has 768 divisors, whose sum is σ = 759977598320640. Its totient is φ = 45528261447680.

The previous prime is 204068012929433. The next prime is 204068012929457. The reversal of 204068012929440 is 44929210860402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336450127 + ... + 337056113.

It is an arithmetic number, because the mean of its divisors is an integer number (989554164480).

Almost surely, 2^{204068012929440} is an apocalyptic number.

204068012929440 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 204068012929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379988799160320).

204068012929440 is an abundant number, since it is smaller than the sum of its proper divisors (555909585391200).

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

204068012929440 is a wasteful number, since it uses less digits than its factorization.

204068012929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606145 (or 606137 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 204068012929440 in words is "two hundred four trillion, sixty-eight billion, twelve million, nine hundred twenty-nine thousand, four hundred forty".