46042830400 has 126 divisors (see below), whose sum is σ = 131791366338. Its totient is φ = 15786086400.

The previous prime is 46042830391. The next prime is 46042830443. The reversal of 46042830400 is 403824064.

It can be written as a sum of positive squares in 3 ways, for example, as 185177664 + 45857652736 = 13608^2 + 214144^2 .

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, 215241 + ... + 372040.

Almost surely, 2^46042830400 is an apocalyptic number.

46042830400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46042830400 is an abundant number, since it is smaller than the sum of its proper divisors (85748535938).

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

46042830400 is a wasteful number, since it uses less digits than its factorization.

46042830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587317 (or 587295 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 46042830400 in words is "forty-six billion, forty-two million, eight hundred thirty thousand, four hundred".