4014008832 has 80 divisors (see below), whose sum is σ = 10875062880. Its totient is φ = 1315295232.

The previous prime is 4014008809. The next prime is 4014008851. The reversal of 4014008832 is 2388004104.

It is a super-2 number, since 2×4014008832² = 32224533806748008448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014008832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68478 + ... + 112770.

It is an arithmetic number, because the mean of its divisors is an integer number (135938286).

Almost surely, 2^4014008832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437531440).

4014008832 is an abundant number, since it is smaller than the sum of its proper divisors (6861054048).

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

4014008832 is an equidigital number, since it uses as much as digits as its factorization.

4014008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44373 (or 44357 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4014008832 is about 63356.2059470104. The cubic root of 4014008832 is about 1589.2520290325.

The spelling of 4014008832 in words is "four billion, fourteen million, eight thousand, eight hundred thirty-two".