5045862400480 has 192 divisors, whose sum is σ = 13574442889728. Its totient is φ = 1754505308160.

The previous prime is 5045862400387. The next prime is 5045862400573. The reversal of 5045862400480 is 840042685405.

It is an interprime number because it is at equal distance from previous prime (5045862400387) and next prime (5045862400573).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 5045862400480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133848514 + ... + 133886206.

It is an arithmetic number, because the mean of its divisors is an integer number (70700223384).

Almost surely, 2^{5045862400480} 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 5045862400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787221444864).

5045862400480 is an abundant number, since it is smaller than the sum of its proper divisors (8528580489248).

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

5045862400480 is a wasteful number, since it uses less digits than its factorization.

5045862400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41049 (or 41041 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 5045862400480 in words is "five trillion, forty-five billion, eight hundred sixty-two million, four hundred thousand, four hundred eighty".