4432500052344 has 384 divisors, whose sum is σ = 15497222307840. Its totient is φ = 1113212906496.

The previous prime is 4432500052313. The next prime is 4432500052361.

4432500052344 is a `hidden beast` number, since 4 + 43 + 2 + 50 + 0 + 0 + 523 + 44 = 666.

4432500052344 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4432500052299 and 4432500052308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11199417 + ... + 11588439.

It is an arithmetic number, because the mean of its divisors is an integer number (40357349760).

Almost surely, 2^{4432500052344} 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 4432500052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748611153920).

4432500052344 is an abundant number, since it is smaller than the sum of its proper divisors (11064722255496).

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

4432500052344 is a wasteful number, since it uses less digits than its factorization.

4432500052344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389139 (or 389132 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 44325000 and 52344, that added together give a palindrome (44377344).

The spelling of 4432500052344 in words is "four trillion, four hundred thirty-two billion, five hundred million, fifty-two thousand, three hundred forty-four".