414112431232 has 64 divisors (see below), whose sum is σ = 859090593600. Its totient is φ = 198592128000.

The previous prime is 414112431157. The next prime is 414112431287. The reversal of 414112431232 is 232134211414.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414112431232.

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, 191107 + ... + 929917.

It is an arithmetic number, because the mean of its divisors is an integer number (13423290525).

Almost surely, 2^414112431232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414112431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429545296800).

414112431232 is an abundant number, since it is smaller than the sum of its proper divisors (444978162368).

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

414112431232 is a wasteful number, since it uses less digits than its factorization.

414112431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739005 (or 738993 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 414112431232 its reverse (232134211414), we get a palindrome (646246642646).

The spelling of 414112431232 in words is "four hundred fourteen billion, one hundred twelve million, four hundred thirty-one thousand, two hundred thirty-two".