412340330334400 has 168 divisors, whose sum is σ = 1108051840080864. Its totient is φ = 150104388403200.

The previous prime is 412340330334389. The next prime is 412340330334403. The reversal of 412340330334400 is 4433033043214.

It is a super-2 number, since 2×412340330334400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412340330334403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138129217 + ... + 141082816.

It is an arithmetic number, because the mean of its divisors is an integer number (6595546667148).

Almost surely, 2^{412340330334400} is an apocalyptic number.

412340330334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412340330334400 is an abundant number, since it is smaller than the sum of its proper divisors (695711509746464).

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

412340330334400 is a wasteful number, since it uses less digits than its factorization.

412340330334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279212139 (or 279212124 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 412340330334400 its reverse (4433033043214), we get a palindrome (416773363377614).

The spelling of 412340330334400 in words is "four hundred twelve trillion, three hundred forty billion, three hundred thirty million, three hundred thirty-four thousand, four hundred".