4033630944 has 144 divisors (see below), whose sum is σ = 13257185760. Its totient is φ = 1139466240.

The previous prime is 4033630943. The next prime is 4033630981. The reversal of 4033630944 is 4490363304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4033630944² = 32540357184788662272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4033630899 and 4033630908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033630943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168184 + ... + 190664.

It is an arithmetic number, because the mean of its divisors is an integer number (92063790).

Almost surely, 2^4033630944 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 4033630944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628592880).

4033630944 is an abundant number, since it is smaller than the sum of its proper divisors (9223554816).

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

4033630944 is a wasteful number, since it uses less digits than its factorization.

4033630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22593 (or 22582 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 4033630944 is about 63510.8726439812. The cubic root of 4033630944 is about 1591.8374580481.

The spelling of 4033630944 in words is "four billion, thirty-three million, six hundred thirty thousand, nine hundred forty-four".