4144432430124 has 288 divisors, whose sum is σ = 12686566334400. Its totient is φ = 1166403732480.

The previous prime is 4144432430107. The next prime is 4144432430207. The reversal of 4144432430124 is 4210342344414.

4144432430124 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 4 + 324 + 301 + 24 = 666.

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

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, 320249494 + ... + 320262434.

It is an arithmetic number, because the mean of its divisors is an integer number (44050577550).

Almost surely, 2^{4144432430124} 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 4144432430124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343283167200).

4144432430124 is an abundant number, since it is smaller than the sum of its proper divisors (8542133904276).

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

4144432430124 is a wasteful number, since it uses less digits than its factorization.

4144432430124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13870 (or 13855 counting only the distinct ones).

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

Adding to 4144432430124 its reverse (4210342344414), we get a palindrome (8354774774538).

The spelling of 4144432430124 in words is "four trillion, one hundred forty-four billion, four hundred thirty-two million, four hundred thirty thousand, one hundred twenty-four".