4432364632344 has 384 divisors, whose sum is σ = 12962563891200. Its totient is φ = 1259614540800.

The previous prime is 4432364632337. The next prime is 4432364632351.

4432364632344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4432364632337) and next prime (4432364632351).

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

It is a junction number, because it is equal to n+sod(n) for n = 4432364632293 and 4432364632302.

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, 3013163529 + ... + 3013164999.

It is an arithmetic number, because the mean of its divisors is an integer number (33756676800).

Almost surely, 2^{4432364632344} is an apocalyptic number.

4432364632344 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 4432364632344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481281945600).

4432364632344 is an abundant number, since it is smaller than the sum of its proper divisors (8530199258856).

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

4432364632344 is a wasteful number, since it uses less digits than its factorization.

4432364632344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2520 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 4432364632344 in words is "four trillion, four hundred thirty-two billion, three hundred sixty-four million, six hundred thirty-two thousand, three hundred forty-four".