4538761883360 has 96 divisors (see below), whose sum is σ = 10878450660000. Its totient is φ = 1789195419648.

The previous prime is 4538761883333. The next prime is 4538761883507. The reversal of 4538761883360 is 633881678354.

It is a super-2 number, since 2×4538761883360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4538761883293 and 4538761883302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14432759 + ... + 14743881.

It is an arithmetic number, because the mean of its divisors is an integer number (113317194375).

Almost surely, 2^{4538761883360} is an apocalyptic number.

4538761883360 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 4538761883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439225330000).

4538761883360 is an abundant number, since it is smaller than the sum of its proper divisors (6339688776640).

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

4538761883360 is a wasteful number, since it uses less digits than its factorization.

4538761883360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312460 (or 312452 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 62.

The spelling of 4538761883360 in words is "four trillion, five hundred thirty-eight billion, seven hundred sixty-one million, eight hundred eighty-three thousand, three hundred sixty".