100420400044432 has 40 divisors (see below), whose sum is σ = 210287456836856. Its totient is φ = 46180556061696.

The previous prime is 100420400044409. The next prime is 100420400044463. The reversal of 100420400044432 is 234440004024001.

It can be written as a sum of positive squares in 4 ways, for example, as 14534881751296 + 85885518293136 = 3812464^2 + 9267444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100420400044432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871405173 + ... + 871520404.

Almost surely, 2^{100420400044432} is an apocalyptic number.

It is an amenable number.

100420400044432 is an abundant number, since it is smaller than the sum of its proper divisors (109867056792424).

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

100420400044432 is a wasteful number, since it uses less digits than its factorization.

100420400044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742925875 (or 1742925869 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 100420400044432 its reverse (234440004024001), we get a palindrome (334860404068433).

The spelling of 100420400044432 in words is "one hundred trillion, four hundred twenty billion, four hundred million, forty-four thousand, four hundred thirty-two".