42032304400 has 30 divisors (see below), whose sum is σ = 100982612282. Its totient is φ = 16812921600.

The previous prime is 42032304389. The next prime is 42032304421. The reversal of 42032304400 is 440323024.

It can be written as a sum of positive squares in 3 ways, for example, as 5248133136 + 36784171264 = 72444^2 + 191792^2 .

It is a super-2 number, since 2×42032304400² (a number of 22 digits) contains 22 as substring.

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, 52539981 + ... + 52540780.

Almost surely, 2^42032304400 is an apocalyptic number.

42032304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42032304400 is an abundant number, since it is smaller than the sum of its proper divisors (58950307882).

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

42032304400 is a wasteful number, since it uses less digits than its factorization.

42032304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105080779 (or 105080768 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42032304400 its reverse (440323024), we get a palindrome (42472627424).

The spelling of 42032304400 in words is "forty-two billion, thirty-two million, three hundred four thousand, four hundred".