4442100031134 has 48 divisors (see below), whose sum is σ = 9847574775792. Its totient is φ = 1446767650944.

The previous prime is 4442100031129. The next prime is 4442100031169. The reversal of 4442100031134 is 4311300012444.

4442100031134 is a `hidden beast` number, since 4 + 442 + 100 + 0 + 3 + 113 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4442100031098 and 4442100031107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15656569 + ... + 15937764.

It is an arithmetic number, because the mean of its divisors is an integer number (205157807829).

Almost surely, 2^{4442100031134} is an apocalyptic number.

4442100031134 is an abundant number, since it is smaller than the sum of its proper divisors (5405474744658).

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

4442100031134 is a wasteful number, since it uses less digits than its factorization.

4442100031134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31594521 (or 31594518 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4442100031134 its reverse (4311300012444), we get a palindrome (8753400043578).

The spelling of 4442100031134 in words is "four trillion, four hundred forty-two billion, one hundred million, thirty-one thousand, one hundred thirty-four".