10140642514160 has 40 divisors (see below), whose sum is σ = 23577207732960. Its totient is φ = 4056220207872.

The previous prime is 10140642514157. The next prime is 10140642514183. The reversal of 10140642514160 is 6141524604101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10140642514160.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9366221 + ... + 10392659.

It is an arithmetic number, because the mean of its divisors is an integer number (589430193324).

Almost surely, 2^{10140642514160} is an apocalyptic number.

10140642514160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140642514160 is an abundant number, since it is smaller than the sum of its proper divisors (13436565218800).

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

10140642514160 is a wasteful number, since it uses less digits than its factorization.

10140642514160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149945 (or 1149939 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 10140642514160 in words is "ten trillion, one hundred forty billion, six hundred forty-two million, five hundred fourteen thousand, one hundred sixty".