4576400107101 has 16 divisors (see below), whose sum is σ = 6779894725120. Its totient is φ = 3050914183200.

The previous prime is 4576400107099. The next prime is 4576400107129. The reversal of 4576400107101 is 1017010046754.

4576400107101 is a `hidden beast` number, since 4 + 5 + 7 + 640 + 0 + 1 + 0 + 7 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 4576400107101 - 2¹ = 4576400107099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576400107141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4799721 + ... + 5673633.

It is an arithmetic number, because the mean of its divisors is an integer number (423743420320).

Almost surely, 2^{4576400107101} is an apocalyptic number.

It is an amenable number.

4576400107101 is a deficient number, since it is larger than the sum of its proper divisors (2203494618019).

4576400107101 is a wasteful number, since it uses less digits than its factorization.

4576400107101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067873 (or 1067867 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 4576400107101 in words is "four trillion, five hundred seventy-six billion, four hundred million, one hundred seven thousand, one hundred one".