4000815504 has 225 divisors, whose sum is σ = 13523934171. Its totient is φ = 1138536000.

The previous prime is 4000815499. The next prime is 4000815509. The reversal of 4000815504 is 4055180004.

The square root of 4000815504 is 63252.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4000815499) and next prime (4000815509).

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

It is not an unprimeable number, because it can be changed into a prime (4000815509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15939379 + ... + 15939629.

Almost surely, 2^4000815504 is an apocalyptic number.

4000815504 is the 63252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000815504

4000815504 is an abundant number, since it is smaller than the sum of its proper divisors (9523118667).

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

4000815504 is an equidigital number, since it uses as much as digits as its factorization.

4000815504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 4000815504 is about 1587.5089222968.

Adding to 4000815504 its reverse (4055180004), we get a palindrome (8055995508).

The spelling of 4000815504 in words is "four billion, eight hundred fifteen thousand, five hundred four".