42304032400 has 90 divisors (see below), whose sum is σ = 118229033490. Its totient is φ = 14504232960.

The previous prime is 42304032391. The next prime is 42304032413. The reversal of 42304032400 is 423040324.

It can be written as a sum of positive squares in 3 ways, for example, as 570445456 + 41733586944 = 23884^2 + 204288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059585 + ... + 1098784.

Almost surely, 2^42304032400 is an apocalyptic number.

42304032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42304032400 is an abundant number, since it is smaller than the sum of its proper divisors (75925001090).

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

42304032400 is a wasteful number, since it uses less digits than its factorization.

42304032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158401 (or 2158383 counting only the distinct ones).

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

Adding to 42304032400 its reverse (423040324), we get a palindrome (42727072724).

42304032400 divided by its reverse (423040324) gives a square (100 = 10²).

The spelling of 42304032400 in words is "forty-two billion, three hundred four million, thirty-two thousand, four hundred".