10317041280 has 768 divisors, whose sum is σ = 45533779200. Its totient is φ = 2176782336.

The previous prime is 10317041269. The next prime is 10317041281. The reversal of 10317041280 is 8214071301.

10317041280 is a `hidden beast` number, since 1 + 0 + 3 + 170 + 412 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3510 × 3402 × 864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10317041281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 793618554 + ... + 793618566.

It is an arithmetic number, because the mean of its divisors is an integer number (59288775).

Almost surely, 2^10317041280 is an apocalyptic number.

10317041280 is a gapful number since it is divisible by the number (10) 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 10317041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766889600).

10317041280 is an abundant number, since it is smaller than the sum of its proper divisors (35216737920).

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

10317041280 is an frugal number, since it uses more digits than its factorization.

10317041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10317041280 in words is "ten billion, three hundred seventeen million, forty-one thousand, two hundred eighty".