204223253440400 has 60 divisors (see below), whose sum is σ = 490648308858900. Its totient is φ = 81688977968640.

The previous prime is 204223253440369. The next prime is 204223253440421. The reversal of 204223253440400 is 4044352322402.

It can be written as a sum of positive squares in 6 ways, for example, as 56683070361856 + 147540183078544 = 7528816^2 + 12146612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117500906 + ... + 119226294.

It is an arithmetic number, because the mean of its divisors is an integer number (8177471814315).

Almost surely, 2^{204223253440400} is an apocalyptic number.

204223253440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204223253440400 is an abundant number, since it is smaller than the sum of its proper divisors (286425055418500).

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

204223253440400 is a wasteful number, since it uses less digits than its factorization.

204223253440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021316 (or 2021305 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

The spelling of 204223253440400 in words is "two hundred four trillion, two hundred twenty-three billion, two hundred fifty-three million, four hundred forty thousand, four hundred".