412254625600512 has 352 divisors, whose sum is σ = 1291924848476160. Its totient is φ = 129592172666880.

The previous prime is 412254625600511. The next prime is 412254625600537. The reversal of 412254625600512 is 215006526452214.

412254625600512 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 5 + 4 + 6 + 25 + 600 + 5 + 12 = 666.

It is a super-2 number, since 2×412254625600512² (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 (412254625600511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40583713 + ... + 49714655.

Almost surely, 2^{412254625600512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412254625600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645962424238080).

412254625600512 is an abundant number, since it is smaller than the sum of its proper divisors (879670222875648).

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

412254625600512 is a wasteful number, since it uses less digits than its factorization.

412254625600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131066 (or 9131042 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 412254625600512 in words is "four hundred twelve trillion, two hundred fifty-four billion, six hundred twenty-five million, six hundred thousand, five hundred twelve".