5040405576 has 128 divisors (see below), whose sum is σ = 15016752000. Its totient is φ = 1561607424.

The previous prime is 5040405551. The next prime is 5040405583. The reversal of 5040405576 is 6755040405.

It is a happy number.

5040405576 is a `hidden beast` number, since 5 + 0 + 40 + 40 + 5 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5040405576.

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, 205926 + ... + 229098.

It is an arithmetic number, because the mean of its divisors is an integer number (117318375).

Almost surely, 2^5040405576 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 5040405576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508376000).

5040405576 is an abundant number, since it is smaller than the sum of its proper divisors (9976346424).

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

5040405576 is a wasteful number, since it uses less digits than its factorization.

5040405576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23260 (or 23250 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5040405576 is about 70995.8137920821. The cubic root of 5040405576 is about 1714.5697652883.

The spelling of 5040405576 in words is "five billion, forty million, four hundred five thousand, five hundred seventy-six".