4412431133424 has 160 divisors (see below), whose sum is σ = 13223417932800. Its totient is φ = 1406070040320.

The previous prime is 4412431133399. The next prime is 4412431133443. The reversal of 4412431133424 is 4243311342144.

4412431133424 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 4 + 311 + 334 + 2 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17651389 + ... + 17899619.

It is an arithmetic number, because the mean of its divisors is an integer number (82646362080).

Almost surely, 2^{4412431133424} 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 4412431133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611708966400).

4412431133424 is an abundant number, since it is smaller than the sum of its proper divisors (8810986799376).

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

4412431133424 is a wasteful number, since it uses less digits than its factorization.

4412431133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250060 (or 250048 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4412431133424 its reverse (4243311342144), we get a palindrome (8655742475568).

The spelling of 4412431133424 in words is "four trillion, four hundred twelve billion, four hundred thirty-one million, one hundred thirty-three thousand, four hundred twenty-four".