5040135360 has 448 divisors, whose sum is σ = 19990978560. Its totient is φ = 1186099200.

The previous prime is 5040135323. The next prime is 5040135391. The reversal of 5040135360 is 635310405.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2582385 + ... + 2584335.

It is an arithmetic number, because the mean of its divisors is an integer number (44622720).

Almost surely, 2^5040135360 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 5040135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995489280).

5040135360 is an abundant number, since it is smaller than the sum of its proper divisors (14950843200).

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

5040135360 is a wasteful number, since it uses less digits than its factorization.

5040135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5040135360 is about 70993.9107247939. The cubic root of 5040135360 is about 1714.5391253953.

Adding to 5040135360 its reverse (635310405), we get a palindrome (5675445765).

The spelling of 5040135360 in words is "five billion, forty million, one hundred thirty-five thousand, three hundred sixty".