414234102432 has 48 divisors (see below), whose sum is σ = 1087702916832. Its totient is φ = 138035063040.

The previous prime is 414234102391. The next prime is 414234102433. The reversal of 414234102432 is 234201432414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 414234102432.

It is not an unprimeable number, because it can be changed into a prime (414234102433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360598 + ... + 979029.

It is an arithmetic number, because the mean of its divisors is an integer number (22660477434).

Almost surely, 2^414234102432 is an apocalyptic number.

It is an amenable number.

414234102432 is an abundant number, since it is smaller than the sum of its proper divisors (673468814400).

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

414234102432 is a wasteful number, since it uses less digits than its factorization.

414234102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342861 (or 1342853 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414234102432 its reverse (234201432414), we get a palindrome (648435534846).

The spelling of 414234102432 in words is "four hundred fourteen billion, two hundred thirty-four million, one hundred two thousand, four hundred thirty-two".