4314034432 has 72 divisors (see below), whose sum is σ = 9126071640. Its totient is φ = 2031697920.

The previous prime is 4314034397. The next prime is 4314034451. The reversal of 4314034432 is 2344304134.

It can be written as a sum of positive squares in 4 ways, for example, as 452157696 + 3861876736 = 21264^2 + 62144^2 .

It is a super-2 number, since 2×4314034432² = 37221786160963125248, 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 4314034432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297298 + ... + 311470.

It is an arithmetic number, because the mean of its divisors is an integer number (126750995).

Almost surely, 2^4314034432 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 4314034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563035820).

4314034432 is an abundant number, since it is smaller than the sum of its proper divisors (4812037208).

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

4314034432 is a wasteful number, since it uses less digits than its factorization.

4314034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4314034432 is about 65681.3096093554. The cubic root of 4314034432 is about 1627.9005466998.

Adding to 4314034432 its reverse (2344304134), we get a palindrome (6658338566).

The spelling of 4314034432 in words is "four billion, three hundred fourteen million, thirty-four thousand, four hundred thirty-two".