42004832400 has 90 divisors (see below), whose sum is σ = 145768448930. Its totient is φ = 11201287680.

The previous prime is 42004832393. The next prime is 42004832411. The reversal of 42004832400 is 423840024.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11995506576 + 30009325824 = 109524^2 + 173232^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5830405 + ... + 5837604.

Almost surely, 2^42004832400 is an apocalyptic number.

42004832400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004832400 is an abundant number, since it is smaller than the sum of its proper divisors (103763616530).

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

42004832400 is a wasteful number, since it uses less digits than its factorization.

42004832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668033 (or 11668019 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 42004832400 in words is "forty-two billion, four million, eight hundred thirty-two thousand, four hundred".