4314122241440 has 48 divisors (see below), whose sum is σ = 11118669599520. Its totient is φ = 1568771723520.

The previous prime is 4314122241431. The next prime is 4314122241487. The reversal of 4314122241440 is 441422214134.

It is a super-2 number, since 2×4314122241440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4314122241397 and 4314122241406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225601150 + ... + 1225604669.

It is an arithmetic number, because the mean of its divisors is an integer number (231638949990).

Almost surely, 2^{4314122241440} is an apocalyptic number.

4314122241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314122241440 is an abundant number, since it is smaller than the sum of its proper divisors (6804547358080).

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

4314122241440 is a wasteful number, since it uses less digits than its factorization.

4314122241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451205845 (or 2451205837 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4314122241440 its reverse (441422214134), we get a palindrome (4755544455574).

The spelling of 4314122241440 in words is "four trillion, three hundred fourteen billion, one hundred twenty-two million, two hundred forty-one thousand, four hundred forty".