14442432431004 has 96 divisors (see below), whose sum is σ = 38178452256000. Its totient is φ = 4720060755648.

The previous prime is 14442432430997. The next prime is 14442432431041. The reversal of 14442432431004 is 40013423424441.

14442432431004 is a `hidden beast` number, since 1 + 44 + 42 + 432 + 43 + 100 + 4 = 666.

It is a super-2 number, since 2×14442432431004² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14442432431004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575179 + ... + 5405154.

It is an arithmetic number, because the mean of its divisors is an integer number (397692211000).

Almost surely, 2^{14442432431004} 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 14442432431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089226128000).

14442432431004 is an abundant number, since it is smaller than the sum of its proper divisors (23736019824996).

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

14442432431004 is a wasteful number, since it uses less digits than its factorization.

14442432431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980784 (or 5980776 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14442432431004 its reverse (40013423424441), we get a palindrome (54455855855445).

The spelling of 14442432431004 in words is "fourteen trillion, four hundred forty-two billion, four hundred thirty-two million, four hundred thirty-one thousand, four".