4432312544 has 96 divisors (see below), whose sum is σ = 10067162112. Its totient is φ = 1901952000.

The previous prime is 4432312541. The next prime is 4432312579. The reversal of 4432312544 is 4452132344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4432312544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432312541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442439 + ... + 452345.

It is an arithmetic number, because the mean of its divisors is an integer number (104866272).

Almost surely, 2^4432312544 is an apocalyptic number.

4432312544 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 4432312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033581056).

4432312544 is an abundant number, since it is smaller than the sum of its proper divisors (5634849568).

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

4432312544 is a wasteful number, since it uses less digits than its factorization.

4432312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9992 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 4432312544 is about 66575.6152356101. The cubic root of 4432312544 is about 1642.6440276590.

Adding to 4432312544 its reverse (4452132344), we get a palindrome (8884444888).

The spelling of 4432312544 in words is "four billion, four hundred thirty-two million, three hundred twelve thousand, five hundred forty-four".