414241133232 has 80 divisors (see below), whose sum is σ = 1107152352000. Its totient is φ = 133303494912.

The previous prime is 414241133197. The next prime is 414241133239. The reversal of 414241133232 is 232331142414.

It is a super-2 number, since 2×414241133232² (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 self number, because there is not a number n which added to its sum of digits gives 414241133232.

It is not an unprimeable number, because it can be changed into a prime (414241133239) 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, 22456269 + ... + 22474707.

It is an arithmetic number, because the mean of its divisors is an integer number (13839404400).

Almost surely, 2^414241133232 is an apocalyptic number.

It is an amenable number.

414241133232 is an abundant number, since it is smaller than the sum of its proper divisors (692911218768).

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

414241133232 is a wasteful number, since it uses less digits than its factorization.

414241133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34618 (or 34612 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 414241133232 its reverse (232331142414), we get a palindrome (646572275646).

The spelling of 414241133232 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred thirty-three thousand, two hundred thirty-two".