4400455400100 has 108 divisors (see below), whose sum is σ = 13793451693840. Its totient is φ = 1173414897600.

The previous prime is 4400455400083. The next prime is 4400455400123. The reversal of 4400455400100 is 10045540044.

4400455400100 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 4 + 554 + 0 + 0 + 100 = 666.

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 35 ways as a sum of consecutive naturals, for example, 34333135 + ... + 34461065.

Almost surely, 2^{4400455400100} is an apocalyptic number.

It is an amenable number.

4400455400100 is an abundant number, since it is smaller than the sum of its proper divisors (9392996293740).

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

4400455400100 is a wasteful number, since it uses less digits than its factorization.

4400455400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166170 (or 166160 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 4400455400100 in words is "four trillion, four hundred billion, four hundred fifty-five million, four hundred thousand, one hundred".