10315334040660 has 288 divisors, whose sum is σ = 34554931931520. Its totient is φ = 2469893529600.

The previous prime is 10315334040637. The next prime is 10315334040673. The reversal of 10315334040660 is 6604043351301.

10315334040660 is a `hidden beast` number, since 1 + 0 + 3 + 153 + 3 + 40 + 406 + 60 = 666.

It is a super-2 number, since 2×10315334040660² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 907315456 + ... + 907326824.

It is an arithmetic number, because the mean of its divisors is an integer number (119982402540).

Almost surely, 2^{10315334040660} is an apocalyptic number.

10315334040660 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 10315334040660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17277465965760).

10315334040660 is an abundant number, since it is smaller than the sum of its proper divisors (24239597890860).

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

10315334040660 is a wasteful number, since it uses less digits than its factorization.

10315334040660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999 (or 16994 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 10315334040660 its reverse (6604043351301), we get a palindrome (16919377391961).

The spelling of 10315334040660 in words is "ten trillion, three hundred fifteen billion, three hundred thirty-four million, forty thousand, six hundred sixty".