10240023124314 has 96 divisors (see below), whose sum is σ = 23083032445200. Its totient is φ = 3276799626240.

The previous prime is 10240023124273. The next prime is 10240023124339. The reversal of 10240023124314 is 41342132004201.

10240023124314 is a `hidden beast` number, since 1 + 0 + 2 + 400 + 2 + 3 + 1 + 243 + 14 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 981056573289 + 9258966551025 = 990483^2 + 3042855^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900691222 + ... + 900702590.

Almost surely, 2^{10240023124314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240023124314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541516222600).

10240023124314 is an abundant number, since it is smaller than the sum of its proper divisors (12843009320886).

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

10240023124314 is a wasteful number, since it uses less digits than its factorization.

10240023124314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10240023124314 its reverse (41342132004201), we get a palindrome (51582155128515).

The spelling of 10240023124314 in words is "ten trillion, two hundred forty billion, twenty-three million, one hundred twenty-four thousand, three hundred fourteen".