412815685284288 has 1792 divisors, whose sum is σ = 1525516080076800. Its totient is φ = 107602919424000.

The previous prime is 412815685284287. The next prime is 412815685284319. The reversal of 412815685284288 is 882482586518214.

412815685284288 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 1 + 5 + 68 + 5 + 284 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412815685284281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144290695978 + ... + 144290698838.

It is an arithmetic number, because the mean of its divisors is an integer number (851292455400).

Almost surely, 2^{412815685284288} is an apocalyptic number.

412815685284288 is a gapful number since it is divisible by the number (48) 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 412815685284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762758040038400).

412815685284288 is an abundant number, since it is smaller than the sum of its proper divisors (1112700394792512).

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

412815685284288 is a wasteful number, since it uses less digits than its factorization.

412815685284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3403 counting only the distinct ones).

The product of its digits is 629145600, while the sum is 72.

The spelling of 412815685284288 in words is "four hundred twelve trillion, eight hundred fifteen billion, six hundred eighty-five million, two hundred eighty-four thousand, two hundred eighty-eight".