412838415360 has 1408 divisors, whose sum is σ = 1778983833600. Its totient is φ = 89866174464.

The previous prime is 412838415323. The next prime is 412838415361. The reversal of 412838415360 is 63514838214.

412838415360 is a `hidden beast` number, since 4 + 1 + 283 + 8 + 4 + 1 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (412838415361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1802787726 + ... + 1802787954.

Almost surely, 2^412838415360 is an apocalyptic number.

412838415360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412838415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889491916800).

412838415360 is an abundant number, since it is smaller than the sum of its proper divisors (1366145418240).

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

412838415360 is an equidigital number, since it uses as much as digits as its factorization.

412838415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 412838415360 in words is "four hundred twelve billion, eight hundred thirty-eight million, four hundred fifteen thousand, three hundred sixty".