4138317244900 has 18 divisors (see below), whose sum is σ = 8980148421650. Its totient is φ = 1655326897920.

The previous prime is 4138317244883. The next prime is 4138317244967. The reversal of 4138317244900 is 94427138314.

It can be written as a sum of positive squares in 3 ways, for example, as 222446176164 + 3915871068736 = 471642^2 + 1978856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20691586125 + ... + 20691586324.

Almost surely, 2^{4138317244900} is an apocalyptic number.

It is an amenable number.

4138317244900 is an abundant number, since it is smaller than the sum of its proper divisors (4841831176750).

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

4138317244900 is a wasteful number, since it uses less digits than its factorization.

4138317244900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41383172463 (or 41383172456 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 4138317244900 in words is "four trillion, one hundred thirty-eight billion, three hundred seventeen million, two hundred forty-four thousand, nine hundred".