5104079040 has 224 divisors, whose sum is σ = 16992331776. Its totient is φ = 1295585280.

The previous prime is 5104079039. The next prime is 5104079051. The reversal of 5104079040 is 409704015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5104078989 and 5104079007.

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, 5983254 + ... + 5984106.

It is an arithmetic number, because the mean of its divisors is an integer number (75858624).

Almost surely, 2^5104079040 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 5104079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496165888).

5104079040 is an abundant number, since it is smaller than the sum of its proper divisors (11888252736).

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

5104079040 is a wasteful number, since it uses less digits than its factorization.

5104079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5104079040 is about 71442.8375696263. The cubic root of 5104079040 is about 1721.7594039303.

The spelling of 5104079040 in words is "five billion, one hundred four million, seventy-nine thousand, forty".