412314100400 has 120 divisors (see below), whose sum is σ = 1029037262400. Its totient is φ = 158571212800.

The previous prime is 412314100369. The next prime is 412314100417. The reversal of 412314100400 is 4001413214.

It is a super-2 number, since 2×412314100400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2698040 + ... + 2846760.

It is an arithmetic number, because the mean of its divisors is an integer number (8575310520).

Almost surely, 2^412314100400 is an apocalyptic number.

412314100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412314100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514518631200).

412314100400 is an abundant number, since it is smaller than the sum of its proper divisors (616723162000).

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

412314100400 is a wasteful number, since it uses less digits than its factorization.

412314100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149007 (or 148996 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 412314100400 its reverse (4001413214), we get a palindrome (416315513614).

The spelling of 412314100400 in words is "four hundred twelve billion, three hundred fourteen million, one hundred thousand, four hundred".