412785085768 has 128 divisors (see below), whose sum is σ = 885692620800. Its totient is φ = 178647206400.

The previous prime is 412785085763. The next prime is 412785085787. The reversal of 412785085768 is 867580587214.

It is a happy number.

It is a super-2 number, since 2×412785085768² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412785085763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88218453 + ... + 88223131.

It is an arithmetic number, because the mean of its divisors is an integer number (6919473600).

Almost surely, 2^412785085768 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 412785085768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442846310400).

412785085768 is an abundant number, since it is smaller than the sum of its proper divisors (472907535032).

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

412785085768 is a wasteful number, since it uses less digits than its factorization.

412785085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 61.

The spelling of 412785085768 in words is "four hundred twelve billion, seven hundred eighty-five million, eighty-five thousand, seven hundred sixty-eight".