412717384320 has 256 divisors, whose sum is σ = 1337391751680. Its totient is φ = 108235100160.

The previous prime is 412717384307. The next prime is 412717384333. The reversal of 412717384320 is 23483717214.

It is an interprime number because it is at equal distance from previous prime (412717384307) and next prime (412717384333).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88887919 + ... + 88892561.

It is an arithmetic number, because the mean of its divisors is an integer number (5224186530).

Almost surely, 2^412717384320 is an apocalyptic number.

412717384320 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 412717384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668695875840).

412717384320 is an abundant number, since it is smaller than the sum of its proper divisors (924674367360).

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

412717384320 is a wasteful number, since it uses less digits than its factorization.

412717384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 412717384320 in words is "four hundred twelve billion, seven hundred seventeen million, three hundred eighty-four thousand, three hundred twenty".