414152213320031 has 16 divisors (see below), whose sum is σ = 430222416185760. Its totient is φ = 398201370900480.

The previous prime is 414152213320019. The next prime is 414152213320061. The reversal of 414152213320031 is 130023312251414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414152213320031 - 2²² = 414152209125727 is a prime.

It is a super-2 number, since 2×414152213320031² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414152213320031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414152213320061) 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, 270640856 + ... + 272166818.

It is an arithmetic number, because the mean of its divisors is an integer number (26888901011610).

Almost surely, 2^{414152213320031} is an apocalyptic number.

414152213320031 is a deficient number, since it is larger than the sum of its proper divisors (16070202865729).

414152213320031 is a wasteful number, since it uses less digits than its factorization.

414152213320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565066.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 414152213320031 its reverse (130023312251414), we get a palindrome (544175525571445).

The spelling of 414152213320031 in words is "four hundred fourteen trillion, one hundred fifty-two billion, two hundred thirteen million, three hundred twenty thousand, thirty-one".