44425533552444 has 576 divisors, whose sum is σ = 131383832025600. Its totient is φ = 12872465049600.

The previous prime is 44425533552431. The next prime is 44425533552479.

44425533552444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 55 + 33 + 552 + 4 + 4 + 4 = 666.

44425533552444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44425533552444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23222964832 + ... + 23222966744.

It is an arithmetic number, because the mean of its divisors is an integer number (228096930600).

Almost surely, 2^{44425533552444} is an apocalyptic number.

44425533552444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44425533552444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691916012800).

44425533552444 is an abundant number, since it is smaller than the sum of its proper divisors (86958298473156).

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

44425533552444 is a wasteful number, since it uses less digits than its factorization.

44425533552444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2206 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 54.

It can be divided in two parts, 4442553 and 3552444, that added together give a palindrome (7994997).

The spelling of 44425533552444 in words is "forty-four trillion, four hundred twenty-five billion, five hundred thirty-three million, five hundred fifty-two thousand, four hundred forty-four".