4314440412144 has 60 divisors (see below), whose sum is σ = 12135732533496. Its totient is φ = 1430846557056.

The previous prime is 4314440412133. The next prime is 4314440412169. The reversal of 4314440412144 is 4412140444134.

4314440412144 is a `hidden beast` number, since 4 + 31 + 4 + 4 + 404 + 1 + 214 + 4 = 666.

It is a super-2 number, since 2×4314440412144² (a number of 26 digits) contains 22 as substring.

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 = 4314440412099 and 4314440412108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76015774 + ... + 76072509.

Almost surely, 2^{4314440412144} is an apocalyptic number.

It is an amenable number.

4314440412144 is an abundant number, since it is smaller than the sum of its proper divisors (7821292121352).

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

4314440412144 is a wasteful number, since it uses less digits than its factorization.

4314440412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152088494 (or 152088485 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4314440412144 its reverse (4412140444134), we get a palindrome (8726580856278).

The spelling of 4314440412144 in words is "four trillion, three hundred fourteen billion, four hundred forty million, four hundred twelve thousand, one hundred forty-four".