4000033032 has 64 divisors (see below), whose sum is σ = 10400554560. Its totient is φ = 1280966400.

The previous prime is 4000033031. The next prime is 4000033061. The reversal of 4000033032 is 2303300004.

4000033032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4000033032² = 32000528514182226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000033031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31182 + ... + 94722.

It is an arithmetic number, because the mean of its divisors is an integer number (162508665).

Almost surely, 2^4000033032 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 4000033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200277280).

4000033032 is an abundant number, since it is smaller than the sum of its proper divisors (6400521528).

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

4000033032 is a wasteful number, since it uses less digits than its factorization.

4000033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63654 (or 63650 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 4000033032 is about 63245.8143437176. The cubic root of 4000033032 is about 1587.4054215421.

Adding to 4000033032 its reverse (2303300004), we get a palindrome (6303333036).

The spelling of 4000033032 in words is "four billion, thirty-three thousand, thirty-two".