4001539752 has 128 divisors (see below), whose sum is σ = 12998937600. Its totient is φ = 1116690624.

The previous prime is 4001539723. The next prime is 4001539753. The reversal of 4001539752 is 2579351004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4001539753) 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, 34243 + ... + 95789.

It is an arithmetic number, because the mean of its divisors is an integer number (101554200).

Almost surely, 2^4001539752 is an apocalyptic number.

4001539752 is a gapful number since it is divisible by the number (42) 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 4001539752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499468800).

4001539752 is an abundant number, since it is smaller than the sum of its proper divisors (8997397848).

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

4001539752 is a wasteful number, since it uses less digits than its factorization.

4001539752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61612 (or 61602 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4001539752 is about 63257.7248405284. The cubic root of 4001539752 is about 1587.6047095006.

The spelling of 4001539752 in words is "four billion, one million, five hundred thirty-nine thousand, seven hundred fifty-two".