414131142324 has 48 divisors (see below), whose sum is σ = 972049575168. Its totient is φ = 137225582208.

The previous prime is 414131142319. The next prime is 414131142377. The reversal of 414131142324 is 423241131414.

It is a happy number.

It is a super-2 number, since 2×414131142324² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414131142291 and 414131142300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247509 + ... + 1544195.

It is an arithmetic number, because the mean of its divisors is an integer number (20251032816).

Almost surely, 2^414131142324 is an apocalyptic number.

It is an amenable number.

414131142324 is an abundant number, since it is smaller than the sum of its proper divisors (557918432844).

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

414131142324 is a wasteful number, since it uses less digits than its factorization.

414131142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297384 (or 297382 counting only the distinct ones).

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

Adding to 414131142324 its reverse (423241131414), we get a palindrome (837372273738).

The spelling of 414131142324 in words is "four hundred fourteen billion, one hundred thirty-one million, one hundred forty-two thousand, three hundred twenty-four".