412322550454400 has 48 divisors (see below), whose sum is σ = 1018565550427290. Its totient is φ = 164929020180480.

The previous prime is 412322550454291. The next prime is 412322550454429. The reversal of 412322550454400 is 4454055223214.

It can be written as a sum of positive squares in 3 ways, for example, as 274798520394304 + 137524030060096 = 16577048^2 + 11727064^2 .

It is a super-2 number, since 2×412322550454400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64425395309 + ... + 64425401708.

Almost surely, 2^{412322550454400} is an apocalyptic number.

412322550454400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412322550454400 is an abundant number, since it is smaller than the sum of its proper divisors (606242999972890).

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

412322550454400 is a wasteful number, since it uses less digits than its factorization.

412322550454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128850797041 (or 128850797024 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 41.

The spelling of 412322550454400 in words is "four hundred twelve trillion, three hundred twenty-two billion, five hundred fifty million, four hundred fifty-four thousand, four hundred".