42677547600400 has 60 divisors (see below), whose sum is σ = 102553597933252. Its totient is φ = 17067557675520.

The previous prime is 42677547600377. The next prime is 42677547600427. The reversal of 42677547600400 is 400674577624.

It can be written as a sum of positive squares in 6 ways, for example, as 13854951506176 + 28822596094224 = 3722224^2 + 5368668^2 .

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, 8841099 + ... + 12787498.

Almost surely, 2^{42677547600400} is an apocalyptic number.

42677547600400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42677547600400 is an abundant number, since it is smaller than the sum of its proper divisors (59876050332852).

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

42677547600400 is a wasteful number, since it uses less digits than its factorization.

42677547600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21633548 (or 21633537 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 52.

The spelling of 42677547600400 in words is "forty-two trillion, six hundred seventy-seven billion, five hundred forty-seven million, six hundred thousand, four hundred".