4431341376 has 504 divisors, whose sum is σ = 16526694912. Its totient is φ = 1110067200.

The previous prime is 4431341359. The next prime is 4431341381. The reversal of 4431341376 is 6731431344.

4431341376 is a `hidden beast` number, since 443 + 134 + 13 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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 4431341376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15123886 + ... + 15124178.

Almost surely, 2^4431341376 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 4431341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263347456).

4431341376 is an abundant number, since it is smaller than the sum of its proper divisors (12095353536).

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

4431341376 is a wasteful number, since it uses less digits than its factorization.

4431341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 4431341376 is about 66568.3211144761. The cubic root of 4431341376 is about 1642.5240451572.

The spelling of 4431341376 in words is "four billion, four hundred thirty-one million, three hundred forty-one thousand, three hundred seventy-six".