412115522442552 has 192 divisors, whose sum is σ = 1142968312755360. Its totient is φ = 134115012096000.

The previous prime is 412115522442551. The next prime is 412115522442557. The reversal of 412115522442552 is 255244225511214.

412115522442552 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 1 + 5 + 52 + 2 + 4 + 42 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412115522442498 and 412115522442507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412115522442551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313807828 + ... + 315118364.

Almost surely, 2^{412115522442552} 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 412115522442552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571484156377680).

412115522442552 is an abundant number, since it is smaller than the sum of its proper divisors (730852790312808).

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

412115522442552 is a wasteful number, since it uses less digits than its factorization.

412115522442552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311254 (or 1311247 counting only the distinct ones).

The product of its digits is 1280000, while the sum is 45.

Adding to 412115522442552 its reverse (255244225511214), we get a palindrome (667359747953766).

The spelling of 412115522442552 in words is "four hundred twelve trillion, one hundred fifteen billion, five hundred twenty-two million, four hundred forty-two thousand, five hundred fifty-two".