414036306132 has 48 divisors (see below), whose sum is σ = 992275768512. Its totient is φ = 134271129600.

The previous prime is 414036306113. The next prime is 414036306137. The reversal of 414036306132 is 231603630414.

It is a junction number, because it is equal to n+sod(n) for n = 414036306093 and 414036306102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414036306137) 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, 6830068 + ... + 6890420.

It is an arithmetic number, because the mean of its divisors is an integer number (20672411844).

Almost surely, 2^414036306132 is an apocalyptic number.

It is an amenable number.

414036306132 is an abundant number, since it is smaller than the sum of its proper divisors (578239462380).

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

414036306132 is a wasteful number, since it uses less digits than its factorization.

414036306132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75848 (or 75846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 414036306132 its reverse (231603630414), we get a palindrome (645639936546).

The spelling of 414036306132 in words is "four hundred fourteen billion, thirty-six million, three hundred six thousand, one hundred thirty-two".