412343214000 has 320 divisors, whose sum is σ = 1374940569600. Its totient is φ = 106204800000.

The previous prime is 412343213977. The next prime is 412343214119. The reversal of 412343214000 is 412343214.

It is a super-2 number, since 2×412343214000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111412150 + ... + 111415850.

It is an arithmetic number, because the mean of its divisors is an integer number (4296689280).

Almost surely, 2^412343214000 is an apocalyptic number.

412343214000 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 412343214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687470284800).

412343214000 is an abundant number, since it is smaller than the sum of its proper divisors (962597355600).

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

412343214000 is a wasteful number, since it uses less digits than its factorization.

412343214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 412343214000 its reverse (412343214), we get a palindrome (412755557214).

412343214000 divided by its reverse (412343214) gives a cube (1000 = 10³).

The spelling of 412343214000 in words is "four hundred twelve billion, three hundred forty-three million, two hundred fourteen thousand".