412717589760 has 576 divisors, whose sum is σ = 1602129715200. Its totient is φ = 88391417856.

The previous prime is 412717589741. The next prime is 412717589797. The reversal of 412717589760 is 67985717214.

It is a Cunningham number, because it is equal to 642431²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 412717589760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109211551 + ... + 109215329.

It is an arithmetic number, because the mean of its divisors is an integer number (2781475200).

Almost surely, 2^412717589760 is an apocalyptic number.

412717589760 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 412717589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801064857600).

412717589760 is an abundant number, since it is smaller than the sum of its proper divisors (1189412125440).

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

412717589760 is a wasteful number, since it uses less digits than its factorization.

412717589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 412717589760 in words is "four hundred twelve billion, seven hundred seventeen million, five hundred eighty-nine thousand, seven hundred sixty".