202557256000440 has 128 divisors (see below), whose sum is σ = 662959635724800. Its totient is φ = 49101457502720.

The previous prime is 202557256000433. The next prime is 202557256000553. The reversal of 202557256000440 is 44000652755202.

It is a junction number, because it is equal to n+sod(n) for n = 202557256000392 and 202557256000401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14283274 + ... + 24680486.

It is an arithmetic number, because the mean of its divisors is an integer number (5179372154100).

Almost surely, 2^{202557256000440} is an apocalyptic number.

202557256000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202557256000440 is an abundant number, since it is smaller than the sum of its proper divisors (460402379724360).

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

202557256000440 is a wasteful number, since it uses less digits than its factorization.

202557256000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411997 (or 10411993 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 202557256000440 in words is "two hundred two trillion, five hundred fifty-seven billion, two hundred fifty-six million, four hundred forty", and thus it is an aban number.