4431682944 has 384 divisors, whose sum is σ = 14769518400. Its totient is φ = 1270923264.

The previous prime is 4431682939. The next prime is 4431682951. The reversal of 4431682944 is 4492861344.

4431682944 is a `hidden beast` number, since 44 + 316 + 8 + 294 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4431682944² = 39279627432281014272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4431682944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43025997 + ... + 43026099.

Almost surely, 2^4431682944 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 4431682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384759200).

4431682944 is an abundant number, since it is smaller than the sum of its proper divisors (10337835456).

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

4431682944 is a wasteful number, since it uses less digits than its factorization.

4431682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4431682944 is about 66570.8866096885. The cubic root of 4431682944 is about 1642.5662460163.

It can be divided in two parts, 44316 and 82944, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 4431682944 in words is "four billion, four hundred thirty-one million, six hundred eighty-two thousand, nine hundred forty-four".