5114407025280 has 768 divisors, whose sum is σ = 20035257465600. Its totient is φ = 1086530125824.

The previous prime is 5114407025279. The next prime is 5114407025303. The reversal of 5114407025280 is 825207044115.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257137576 + ... + 257157464.

It is an arithmetic number, because the mean of its divisors is an integer number (26087574825).

Almost surely, 2^{5114407025280} 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 5114407025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017628732800).

5114407025280 is an abundant number, since it is smaller than the sum of its proper divisors (14920850440320).

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

5114407025280 is a wasteful number, since it uses less digits than its factorization.

5114407025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20009 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 5114407025280 in words is "five trillion, one hundred fourteen billion, four hundred seven million, twenty-five thousand, two hundred eighty".