410709867960 has 768 divisors, whose sum is σ = 1576428480000. Its totient is φ = 85007978496.

The previous prime is 410709867947. The next prime is 410709867961. The reversal of 410709867960 is 69768907014.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 410709867960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410709867961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353146339 + ... + 353147501.

It is an arithmetic number, because the mean of its divisors is an integer number (2052641250).

Almost surely, 2^410709867960 is an apocalyptic number.

410709867960 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 410709867960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788214240000).

410709867960 is an abundant number, since it is smaller than the sum of its proper divisors (1165718612040).

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

410709867960 is a wasteful number, since it uses less digits than its factorization.

410709867960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 410709867960 in words is "four hundred ten billion, seven hundred nine million, eight hundred sixty-seven thousand, nine hundred sixty".