5025444116440 has 384 divisors, whose sum is σ = 13709094739200. Its totient is φ = 1639440000000.

The previous prime is 5025444116423. The next prime is 5025444116453. The reversal of 5025444116440 is 446114445205.

It is a super-2 number, since 2×5025444116440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5025444116393 and 5025444116402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446660815 + ... + 446672065.

It is an arithmetic number, because the mean of its divisors is an integer number (35700767550).

Almost surely, 2^{5025444116440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5025444116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854547369600).

5025444116440 is an abundant number, since it is smaller than the sum of its proper divisors (8683650622760).

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

5025444116440 is a wasteful number, since it uses less digits than its factorization.

5025444116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 5025444116440 in words is "five trillion, twenty-five billion, four hundred forty-four million, one hundred sixteen thousand, four hundred forty".