42233104014400 has 84 divisors (see below), whose sum is σ = 111913664817892. Its totient is φ = 15593761474560.

The previous prime is 42233104014383. The next prime is 42233104014449. The reversal of 42233104014400 is 441040133224.

It can be written as a sum of positive squares in 6 ways, for example, as 2422455667776 + 39810648346624 = 1556424^2 + 6309568^2 .

It is a super-2 number, since 2×42233104014400² (a number of 28 digits) contains 22 as substring.

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, 1015198047 + ... + 1015239646.

Almost surely, 2^{42233104014400} is an apocalyptic number.

42233104014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233104014400 is an abundant number, since it is smaller than the sum of its proper divisors (69680560803492).

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

42233104014400 is a wasteful number, since it uses less digits than its factorization.

42233104014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030437728 (or 2030437713 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42233104014400 its reverse (441040133224), we get a palindrome (42674144147624).

The spelling of 42233104014400 in words is "forty-two trillion, two hundred thirty-three billion, one hundred four million, fourteen thousand, four hundred".