4007033264 has 30 divisors (see below), whose sum is σ = 8406773316. Its totient is φ = 1849398720.

The previous prime is 4007033231. The next prime is 4007033281. The reversal of 4007033264 is 4623307004.

It is a happy 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 5 ways as a sum of consecutive naturals, for example, 738242 + ... + 743649.

Almost surely, 2^4007033264 is an apocalyptic number.

It is an amenable number.

4007033264 is an abundant number, since it is smaller than the sum of its proper divisors (4399740052).

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

4007033264 is a wasteful number, since it uses less digits than its factorization.

4007033264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481925 (or 1481906 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 4007033264 is about 63301.1316170572. The cubic root of 4007033264 is about 1588.3308914198.

The spelling of 4007033264 in words is "four billion, seven million, thirty-three thousand, two hundred sixty-four".