10140515840 has 640 divisors, whose sum is σ = 32997888000. Its totient is φ = 2898395136.

The previous prime is 10140515831. The next prime is 10140515911. The reversal of 10140515840 is 4851504101.

10140515840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128360921 + ... + 128360999.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 2^10140515840 is an apocalyptic number.

10140515840 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 10140515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

10140515840 is an abundant number, since it is smaller than the sum of its proper divisors (22857372160).

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

10140515840 is a wasteful number, since it uses less digits than its factorization.

10140515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The spelling of 10140515840 in words is "ten billion, one hundred forty million, five hundred fifteen thousand, eight hundred forty".