5056007040 has 320 divisors, whose sum is σ = 20636811360. Its totient is φ = 1155575808.

The previous prime is 5056007029. The next prime is 5056007053. The reversal of 5056007040 is 407006505.

5056007040 is a `hidden beast` number, since 50 + 5 + 600 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5056006995 and 5056007013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355914 + ... + 369846.

Almost surely, 2^5056007040 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 5056007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318405680).

5056007040 is an abundant number, since it is smaller than the sum of its proper divisors (15580804320).

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

5056007040 is a wasteful number, since it uses less digits than its factorization.

5056007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13971 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5056007040 is about 71105.6048423751. The cubic root of 5056007040 is about 1716.3369674218.

The spelling of 5056007040 in words is "five billion, fifty-six million, seven thousand, forty".