414233161332414 has 128 divisors (see below), whose sum is σ = 856603133481600. Its totient is φ = 133441750425600.

The previous prime is 414233161332413. The next prime is 414233161332421.

414233161332414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414233161332414² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414233161332413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61816615264 + ... + 61816621964.

It is an arithmetic number, because the mean of its divisors is an integer number (6692211980325).

Almost surely, 2^{414233161332414} is an apocalyptic number.

414233161332414 is an abundant number, since it is smaller than the sum of its proper divisors (442369972149186).

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

414233161332414 is a wasteful number, since it uses less digits than its factorization.

414233161332414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678.

The product of its digits is 497664, while the sum is 42.

The spelling of 414233161332414 in words is "four hundred fourteen trillion, two hundred thirty-three billion, one hundred sixty-one million, three hundred thirty-two thousand, four hundred fourteen".