414014322432 has 72 divisors (see below), whose sum is σ = 1106611453584. Its totient is φ = 137412419584.

The previous prime is 414014322409. The next prime is 414014322439. The reversal of 414014322432 is 234223410414.

It is a self number, because there is not a number n which added to its sum of digits gives 414014322432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414014322439) 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, 977883 + ... + 1335770.

It is an arithmetic number, because the mean of its divisors is an integer number (15369603522).

Almost surely, 2^414014322432 is an apocalyptic number.

It is an amenable number.

414014322432 is an abundant number, since it is smaller than the sum of its proper divisors (692597131152).

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

414014322432 is a wasteful number, since it uses less digits than its factorization.

414014322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313905 (or 2313891 counting only the distinct ones).

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

Adding to 414014322432 its reverse (234223410414), we get a palindrome (648237732846).

The spelling of 414014322432 in words is "four hundred fourteen billion, fourteen million, three hundred twenty-two thousand, four hundred thirty-two".