412872278214 has 128 divisors (see below), whose sum is σ = 1016195051520. Its totient is φ = 110310076800.

The previous prime is 412872278213. The next prime is 412872278293.

412872278214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412872278213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873709 + ... + 1260599.

It is an arithmetic number, because the mean of its divisors is an integer number (7939023840).

Almost surely, 2^412872278214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412872278214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508097525760).

412872278214 is an abundant number, since it is smaller than the sum of its proper divisors (603322773306).

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

412872278214 is a wasteful number, since it uses less digits than its factorization.

412872278214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386986.

The product of its digits is 802816, while the sum is 48.

The spelling of 412872278214 in words is "four hundred twelve billion, eight hundred seventy-two million, two hundred seventy-eight thousand, two hundred fourteen".