414311132032 has 64 divisors (see below), whose sum is σ = 943405221600. Its totient is φ = 177541668864.

The previous prime is 414311132009. The next prime is 414311132057. The reversal of 414311132032 is 230231113414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 414311131988 and 414311132006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9936444 + ... + 9978052.

Almost surely, 2^414311132032 is an apocalyptic number.

It is an amenable number.

414311132032 is an abundant number, since it is smaller than the sum of its proper divisors (529094089568).

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

414311132032 is a wasteful number, since it uses less digits than its factorization.

414311132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52743 (or 52731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 414311132032 its reverse (230231113414), we get a palindrome (644542245446).

The spelling of 414311132032 in words is "four hundred fourteen billion, three hundred eleven million, one hundred thirty-two thousand, thirty-two".