4004752032 has 72 divisors (see below), whose sum is σ = 11401659360. Its totient is φ = 1333376640.

The previous prime is 4004752007. The next prime is 4004752057. The reversal of 4004752032 is 2302574004.

It is an interprime number because it is at equal distance from previous prime (4004752007) and next prime (4004752057).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4004751987 and 4004752005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257107 + ... + 272237.

It is an arithmetic number, because the mean of its divisors is an integer number (158356380).

Almost surely, 2^4004752032 is an apocalyptic number.

It is an amenable number.

4004752032 is an abundant number, since it is smaller than the sum of its proper divisors (7396907328).

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

4004752032 is a wasteful number, since it uses less digits than its factorization.

4004752032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066 (or 16055 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4004752032 is about 63283.1101637712. The cubic root of 4004752032 is about 1588.0294182488.

The spelling of 4004752032 in words is "four billion, four million, seven hundred fifty-two thousand, thirty-two".