4500040864 has 96 divisors (see below), whose sum is σ = 10199347200. Its totient is φ = 1932906240.

The previous prime is 4500040829. The next prime is 4500040871. The reversal of 4500040864 is 4680400054.

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, 4139329 + ... + 4140415.

It is an arithmetic number, because the mean of its divisors is an integer number (106243200).

Almost surely, 2^4500040864 is an apocalyptic number.

4500040864 is a gapful number since it is divisible by the number (44) 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 4500040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

4500040864 is an abundant number, since it is smaller than the sum of its proper divisors (5699306336).

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

4500040864 is a wasteful number, since it uses less digits than its factorization.

4500040864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 4500040864 is about 67082.3439065750. The cubic root of 4500040864 is about 1650.9686218379.

The spelling of 4500040864 in words is "four billion, five hundred million, forty thousand, eight hundred sixty-four".