42400626620004 has 18 divisors (see below), whose sum is σ = 107179361733990. Its totient is φ = 14133542206656.

The previous prime is 42400626619997. The next prime is 42400626620017. The reversal of 42400626620004 is 40002662600424.

42400626620004 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 0 + 6 + 26 + 620 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37646691776100 + 4753934843904 = 6135690^2 + 2180352^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1177795183889 = 42400626620004 / (4 + 2 + 4 + 0 + 0 + 6 + 2 + 6 + 6 + 2 + 0 + 0 + 0 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588897591909 + ... + 588897591980.

Almost surely, 2^{42400626620004} is an apocalyptic number.

It is an amenable number.

42400626620004 is an abundant number, since it is smaller than the sum of its proper divisors (64778735113986).

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

42400626620004 is a wasteful number, since it uses less digits than its factorization.

42400626620004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177795183899 (or 1177795183894 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42400626620004 in words is "forty-two trillion, four hundred billion, six hundred twenty-six million, six hundred twenty thousand, four".