412142324343000 has 256 divisors, whose sum is σ = 1320681788899200. Its totient is φ = 106930652774400.

The previous prime is 412142324342999. The next prime is 412142324343017. The reversal of 412142324343000 is 343423241214.

It is a super-2 number, since 2×412142324343000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 5605130236 + ... + 5605203764.

Almost surely, 2^{412142324343000} is an apocalyptic number.

412142324343000 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 412142324343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660340894449600).

412142324343000 is an abundant number, since it is smaller than the sum of its proper divisors (908539464556200).

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

412142324343000 is a wasteful number, since it uses less digits than its factorization.

412142324343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124087 (or 124073 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 412142324343000 its reverse (343423241214), we get a palindrome (412485747584214).

The spelling of 412142324343000 in words is "four hundred twelve trillion, one hundred forty-two billion, three hundred twenty-four million, three hundred forty-three thousand".