201457310754400 has 72 divisors (see below), whose sum is σ = 492981425997480. Its totient is φ = 80390602152960.

The previous prime is 201457310754353. The next prime is 201457310754431. The reversal of 201457310754400 is 4457013754102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300167949 + ... + 300838348.

It is an arithmetic number, because the mean of its divisors is an integer number (6846964249965).

Almost surely, 2^{201457310754400} is an apocalyptic number.

201457310754400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201457310754400 is an abundant number, since it is smaller than the sum of its proper divisors (291524115243080).

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

201457310754400 is a wasteful number, since it uses less digits than its factorization.

201457310754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601006736 (or 601006723 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 201457310754400 in words is "two hundred one trillion, four hundred fifty-seven billion, three hundred ten million, seven hundred fifty-four thousand, four hundred".