5040329216 has 80 divisors (see below), whose sum is σ = 10872288504. Its totient is φ = 2320564224.

The previous prime is 5040329197. The next prime is 5040329221. The reversal of 5040329216 is 6129230405.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4085766400 + 954562816 = 63920^2 + 30896^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3946370 + ... + 3947646.

Almost surely, 2^5040329216 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 5040329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436144252).

5040329216 is an abundant number, since it is smaller than the sum of its proper divisors (5831959288).

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

5040329216 is a wasteful number, since it uses less digits than its factorization.

5040329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5040329216 is about 70995.2760118587. The cubic root of 5040329216 is about 1714.5611069104.

The spelling of 5040329216 in words is "five billion, forty million, three hundred twenty-nine thousand, two hundred sixteen".