4004253264 has 160 divisors (see below), whose sum is σ = 11830385664. Its totient is φ = 1155235840.

The previous prime is 4004253263. The next prime is 4004253299. The reversal of 4004253264 is 4623524004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004253263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3120367 + ... + 3121649.

Almost surely, 2^4004253264 is an apocalyptic number.

4004253264 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 4004253264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915192832).

4004253264 is an abundant number, since it is smaller than the sum of its proper divisors (7826132400).

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

4004253264 is a wasteful number, since it uses less digits than its factorization.

4004253264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4004253264 is about 63279.1692739404. The cubic root of 4004253264 is about 1587.9634889782.

Adding to 4004253264 its reverse (4623524004), we get a palindrome (8627777268).

The spelling of 4004253264 in words is "four billion, four million, two hundred fifty-three thousand, two hundred sixty-four".