42100032400 has 30 divisors (see below), whose sum is σ = 101145328802. Its totient is φ = 16840012800.

The previous prime is 42100032379. The next prime is 42100032427. The reversal of 42100032400 is 423000124.

It can be written as a sum of positive squares in 3 ways, for example, as 9357853696 + 32742178704 = 96736^2 + 180948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 5 ways as a sum of consecutive naturals, for example, 52624641 + ... + 52625440.

Almost surely, 2^42100032400 is an apocalyptic number.

42100032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100032400 is an abundant number, since it is smaller than the sum of its proper divisors (59045296402).

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

42100032400 is a wasteful number, since it uses less digits than its factorization.

42100032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105250099 (or 105250088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42100032400 its reverse (423000124), we get a palindrome (42523032524).

The spelling of 42100032400 in words is "forty-two billion, one hundred million, thirty-two thousand, four hundred".