4414131342120 has 64 divisors (see below), whose sum is σ = 13410019296000. Its totient is φ = 1162201667328.

The previous prime is 4414131342079. The next prime is 4414131342167. The reversal of 4414131342120 is 212431314144.

It is a happy number.

It is a super-2 number, since 2×4414131342120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232803355 + ... + 232822314.

It is an arithmetic number, because the mean of its divisors is an integer number (209531551500).

Almost surely, 2^{4414131342120} is an apocalyptic number.

4414131342120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414131342120 is an abundant number, since it is smaller than the sum of its proper divisors (8995887953880).

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

4414131342120 is a wasteful number, since it uses less digits than its factorization.

4414131342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465625762 (or 465625758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 4414131342120 its reverse (212431314144), we get a palindrome (4626562656264).

The spelling of 4414131342120 in words is "four trillion, four hundred fourteen billion, one hundred thirty-one million, three hundred forty-two thousand, one hundred twenty".