414220420032 has 56 divisors (see below), whose sum is σ = 1121445616896. Its totient is φ = 134862459648.

The previous prime is 414220420013. The next prime is 414220420121. The reversal of 414220420032 is 230024022414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 414220419984 and 414220420011.

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, 25077768 + ... + 25094279.

Almost surely, 2^414220420032 is an apocalyptic number.

It is an amenable number.

414220420032 is an abundant number, since it is smaller than the sum of its proper divisors (707225196864).

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

414220420032 is a wasteful number, since it uses less digits than its factorization.

414220420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50172105 (or 50172095 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 414220420032 its reverse (230024022414), we get a palindrome (644244442446).

The spelling of 414220420032 in words is "four hundred fourteen billion, two hundred twenty million, four hundred twenty thousand, thirty-two".