44125277252144 has 20 divisors (see below), whose sum is σ = 93264790556040. Its totient is φ = 20056944205440.

The previous prime is 44125277252141. The next prime is 44125277252159.

It is a happy number.

44125277252144 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44125277252092 and 44125277252101.

It is not an unprimeable number, because it can be changed into a prime (44125277252141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125355901109 + ... + 125355901460.

It is an arithmetic number, because the mean of its divisors is an integer number (4663239527802).

Almost surely, 2^{44125277252144} is an apocalyptic number.

44125277252144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44125277252144 is an abundant number, since it is smaller than the sum of its proper divisors (49139513303896).

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

44125277252144 is a wasteful number, since it uses less digits than its factorization.

44125277252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250711802588 (or 250711802582 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 50.

The spelling of 44125277252144 in words is "forty-four trillion, one hundred twenty-five billion, two hundred seventy-seven million, two hundred fifty-two thousand, one hundred forty-four".