412301420424000 has 168 divisors, whose sum is σ = 1474870898017608. Its totient is φ = 109947045427200.

The previous prime is 412301420423953. The next prime is 412301420424007. The reversal of 412301420424000 is 424024103214.

412301420424000 is a `hidden beast` number, since 4 + 1 + 230 + 1 + 4 + 2 + 0 + 424 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111570884794944 + 300730535629056 = 10562712^2 + 17341584^2 .

It is a super-2 number, since 2×412301420424000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412301420424007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2863132309 + ... + 2863276308.

It is an arithmetic number, because the mean of its divisors is an integer number (8778993440581).

Almost surely, 2^{412301420424000} is an apocalyptic number.

412301420424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412301420424000 is an abundant number, since it is smaller than the sum of its proper divisors (1062569477593608).

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

412301420424000 is a wasteful number, since it uses less digits than its factorization.

412301420424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726408650 (or 5726408627 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 412301420424000 its reverse (424024103214), we get a palindrome (412725444527214).

The spelling of 412301420424000 in words is "four hundred twelve trillion, three hundred one billion, four hundred twenty million, four hundred twenty-four thousand".