412755557214 has 256 divisors, whose sum is σ = 1146352435200. Its totient is φ = 95584320000.

The previous prime is 412755557213. The next prime is 412755557323.

412755557214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×412755557214² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412755557213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111523564 + ... + 111527264.

It is an arithmetic number, because the mean of its divisors is an integer number (4477939200).

Almost surely, 2^412755557214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412755557214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573176217600).

412755557214 is an abundant number, since it is smaller than the sum of its proper divisors (733596877986).

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

412755557214 is a wasteful number, since it uses less digits than its factorization.

412755557214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367.

The product of its digits is 1960000, while the sum is 48.

It can be divided in two parts, 412755 and 557214, that added together give a palindrome (969969).

The spelling of 412755557214 in words is "four hundred twelve billion, seven hundred fifty-five million, five hundred fifty-seven thousand, two hundred fourteen".