42257553575400 has 144 divisors (see below), whose sum is σ = 142818868596300. Its totient is φ = 11196905840640.

The previous prime is 42257553575359. The next prime is 42257553575431. The reversal of 42257553575400 is 457535575224.

42257553575400 is a `hidden beast` number, since 4 + 2 + 2 + 57 + 5 + 535 + 7 + 54 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25933739580324 + 16323813995076 = 5092518^2 + 4040274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74483065 + ... + 75048264.

Almost surely, 2^{42257553575400} is an apocalyptic number.

42257553575400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42257553575400 is an abundant number, since it is smaller than the sum of its proper divisors (100561315020900).

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

42257553575400 is a wasteful number, since it uses less digits than its factorization.

42257553575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149531508 (or 149531496 counting only the distinct ones).

The product of its (nonzero) digits is 29400000, while the sum is 54.

The spelling of 42257553575400 in words is "forty-two trillion, two hundred fifty-seven billion, five hundred fifty-three million, five hundred seventy-five thousand, four hundred".