5040388000 has 96 divisors (see below), whose sum is σ = 12450306960. Its totient is φ = 2005401600.

The previous prime is 5040387917. The next prime is 5040388079. The reversal of 5040388000 is 8830405.

It can be written as a sum of positive squares in 8 ways, for example, as 196784784 + 4843603216 = 14028^2 + 69596^2 .

It is a super-2 number, since 2×5040388000² = 50811022381088000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5040388000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768736 + ... + 775264.

Almost surely, 2^5040388000 is an apocalyptic number.

5040388000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225153480).

5040388000 is an abundant number, since it is smaller than the sum of its proper divisors (7409918960).

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

5040388000 is a wasteful number, since it uses less digits than its factorization.

5040388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5040388000 is about 70995.6900100281. The cubic root of 5040388000 is about 1714.5677723724.

The spelling of 5040388000 in words is "five billion, forty million, three hundred eighty-eight thousand".