414304212032 has 112 divisors (see below), whose sum is σ = 862545034368. Its totient is φ = 197253181440.

The previous prime is 414304211999. The next prime is 414304212037. The reversal of 414304212032 is 230212403414.

It is a junction number, because it is equal to n+sod(n) for n = 414304211992 and 414304212010.

It is not an unprimeable number, because it can be changed into a prime (414304212037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23024543 + ... + 23042529.

Almost surely, 2^414304212032 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 414304212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431272517184).

414304212032 is an abundant number, since it is smaller than the sum of its proper divisors (448240822336).

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

414304212032 is a wasteful number, since it uses less digits than its factorization.

414304212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18244 (or 18234 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414304212032 its reverse (230212403414), we get a palindrome (644516615446).

The spelling of 414304212032 in words is "four hundred fourteen billion, three hundred four million, two hundred twelve thousand, thirty-two".