5160442271040 has 560 divisors, whose sum is σ = 20995761464832. Its totient is φ = 1178585800704.

The previous prime is 5160442270903. The next prime is 5160442271071. The reversal of 5160442271040 is 401722440615.

5160442271040 is a `hidden beast` number, since 5 + 1 + 604 + 4 + 2 + 2 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5160442270986 and 5160442271004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240760164 + ... + 240781596.

Almost surely, 2^{5160442271040} 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 5160442271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497880732416).

5160442271040 is an abundant number, since it is smaller than the sum of its proper divisors (15835319193792).

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

5160442271040 is a wasteful number, since it uses less digits than its factorization.

5160442271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22796 (or 22777 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5160442271040 in words is "five trillion, one hundred sixty billion, four hundred forty-two million, two hundred seventy-one thousand, forty".