414131342240 has 96 divisors (see below), whose sum is σ = 1219805080704. Its totient is φ = 129079895040.

The previous prime is 414131342237. The next prime is 414131342243. The reversal of 414131342240 is 42243131414.

It is an interprime number because it is at equal distance from previous prime (414131342237) and next prime (414131342243).

It is not an unprimeable number, because it can be changed into a prime (414131342243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16794959 + ... + 16819598.

It is an arithmetic number, because the mean of its divisors is an integer number (12706302924).

Almost surely, 2^414131342240 is an apocalyptic number.

414131342240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414131342240 is an abundant number, since it is smaller than the sum of its proper divisors (805673738464).

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

414131342240 is a wasteful number, since it uses less digits than its factorization.

414131342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33614590 (or 33614582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414131342240 its reverse (42243131414), we get a palindrome (456374473654).

The spelling of 414131342240 in words is "four hundred fourteen billion, one hundred thirty-one million, three hundred forty-two thousand, two hundred forty".