4007264000 has 144 divisors (see below), whose sum is σ = 10093321056. Its totient is φ = 1585152000.

The previous prime is 4007263991. The next prime is 4007264057. The reversal of 4007264000 is 4627004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103355 + ... + 3104645.

Almost surely, 2^4007264000 is an apocalyptic number.

4007264000 is a gapful number since it is divisible by the number (40) 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 4007264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046660528).

4007264000 is an abundant number, since it is smaller than the sum of its proper divisors (6086057056).

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

4007264000 is an equidigital number, since it uses as much as digits as its factorization.

4007264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4007264000 is about 63302.9541174818. The cubic root of 4007264000 is about 1588.3613776556.

The spelling of 4007264000 in words is "four billion, seven million, two hundred sixty-four thousand".