414331142022 has 96 divisors (see below), whose sum is σ = 1050184312320. Its totient is φ = 115587440640.

The previous prime is 414331141951. The next prime is 414331142077. The reversal of 414331142022 is 220241133414.

414331142022 is a `hidden beast` number, since 4 + 143 + 311 + 4 + 202 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17970822 + ... + 17993862.

It is an arithmetic number, because the mean of its divisors is an integer number (10939419920).

Almost surely, 2^414331142022 is an apocalyptic number.

414331142022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414331142022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525092156160).

414331142022 is an abundant number, since it is smaller than the sum of its proper divisors (635853170298).

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

414331142022 is a wasteful number, since it uses less digits than its factorization.

414331142022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26418 (or 26415 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414331142022 its reverse (220241133414), we get a palindrome (634572275436).

The spelling of 414331142022 in words is "four hundred fourteen billion, three hundred thirty-one million, one hundred forty-two thousand, twenty-two".