4388877613120 has 1344 divisors, whose sum is σ = 15291642288384. Its totient is φ = 1175212523520.

The previous prime is 4388877613111. The next prime is 4388877613123. The reversal of 4388877613120 is 213167788834.

It is a super-2 number, since 2×4388877613120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4388877613123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3697453167 + ... + 3697454353.

It is an arithmetic number, because the mean of its divisors is an integer number (11377710036).

Almost surely, 2^{4388877613120} is an apocalyptic number.

4388877613120 is a gapful number since it is divisible by the number (40) 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 4388877613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645821144192).

4388877613120 is an abundant number, since it is smaller than the sum of its proper divisors (10902764675264).

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

4388877613120 is a wasteful number, since it uses less digits than its factorization.

4388877613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 4388877613120 in words is "four trillion, three hundred eighty-eight billion, eight hundred seventy-seven million, six hundred thirteen thousand, one hundred twenty".