10140406516540 has 48 divisors (see below), whose sum is σ = 21303181291392. Its totient is φ = 4054576792896.

The previous prime is 10140406516529. The next prime is 10140406516579. The reversal of 10140406516540 is 4561560404101.

It is a self number, because there is not a number n which added to its sum of digits gives 10140406516540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933132187 + ... + 933143053.

It is an arithmetic number, because the mean of its divisors is an integer number (443816276904).

Almost surely, 2^{10140406516540} is an apocalyptic number.

10140406516540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140406516540 is an abundant number, since it is smaller than the sum of its proper divisors (11162774774852).

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

10140406516540 is a wasteful number, since it uses less digits than its factorization.

10140406516540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24826 (or 24824 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 10140406516540 in words is "ten trillion, one hundred forty billion, four hundred six million, five hundred sixteen thousand, five hundred forty".