4431414312 has 128 divisors (see below), whose sum is σ = 13331136000. Its totient is φ = 1355823360.

The previous prime is 4431414311. The next prime is 4431414313. The reversal of 4431414312 is 2134141344.

It is an interprime number because it is at equal distance from previous prime (4431414311) and next prime (4431414313).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (4431414311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503889 + ... + 512607.

It is an arithmetic number, because the mean of its divisors is an integer number (104149500).

Almost surely, 2^4431414312 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 4431414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665568000).

4431414312 is an abundant number, since it is smaller than the sum of its proper divisors (8899721688).

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

4431414312 is a wasteful number, since it uses less digits than its factorization.

4431414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8918 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4431414312 is about 66568.8689403688. The cubic root of 4431414312 is about 1642.5330566104.

Adding to 4431414312 its reverse (2134141344), we get a palindrome (6565555656).

The spelling of 4431414312 in words is "four billion, four hundred thirty-one million, four hundred fourteen thousand, three hundred twelve".