4334312444 has 108 divisors (see below), whose sum is σ = 9762205320. Its totient is φ = 1677614400.

The previous prime is 4334312431. The next prime is 4334312447. The reversal of 4334312444 is 4442134334.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4334312444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334312447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4244654 + ... + 4245674.

It is an arithmetic number, because the mean of its divisors is an integer number (90390790).

Almost surely, 2^4334312444 is an apocalyptic number.

4334312444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881102660).

4334312444 is an abundant number, since it is smaller than the sum of its proper divisors (5427892876).

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

4334312444 is a wasteful number, since it uses less digits than its factorization.

4334312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1220 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

The square root of 4334312444 is about 65835.4953197741. The cubic root of 4334312444 is about 1630.4471961041.

Adding to 4334312444 its reverse (4442134334), we get a palindrome (8776446778).

The spelling of 4334312444 in words is "four billion, three hundred thirty-four million, three hundred twelve thousand, four hundred forty-four".