42267672232400 has 30 divisors (see below), whose sum is σ = 101548082539302. Its totient is φ = 16907068892800.

The previous prime is 42267672232391. The next prime is 42267672232453. The reversal of 42267672232400 is 423227676224.

It can be written as a sum of positive squares in 3 ways, for example, as 1698059185216 + 40569613047184 = 1303096^2 + 6369428^2 .

It is a super-2 number, since 2×42267672232400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52834589891 + ... + 52834590690.

Almost surely, 2^{42267672232400} is an apocalyptic number.

42267672232400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42267672232400 is an abundant number, since it is smaller than the sum of its proper divisors (59280410306902).

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

42267672232400 is a wasteful number, since it uses less digits than its factorization.

42267672232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105669180599 (or 105669180588 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 47.

The spelling of 42267672232400 in words is "forty-two trillion, two hundred sixty-seven billion, six hundred seventy-two million, two hundred thirty-two thousand, four hundred".