414199932672 has 144 divisors (see below), whose sum is σ = 1110564312480. Its totient is φ = 137043787776.

The previous prime is 414199932661. The next prime is 414199932779. The reversal of 414199932672 is 276239991414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94198378 + ... + 94202774.

It is an arithmetic number, because the mean of its divisors is an integer number (7712252170).

Almost surely, 2^414199932672 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 414199932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555282156240).

414199932672 is an abundant number, since it is smaller than the sum of its proper divisors (696364379808).

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

414199932672 is a wasteful number, since it uses less digits than its factorization.

414199932672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5284 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The spelling of 414199932672 in words is "four hundred fourteen billion, one hundred ninety-nine million, nine hundred thirty-two thousand, six hundred seventy-two".