10140887040 has 192 divisors, whose sum is σ = 33564585600. Its totient is φ = 2610757632.

The previous prime is 10140887033. The next prime is 10140887047. The reversal of 10140887040 is 4078804101.

It is an interprime number because it is at equal distance from previous prime (10140887033) and next prime (10140887047).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10140886992 and 10140887010.

It is not an unprimeable number, because it can be changed into a prime (10140887047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885189 + ... + 896571.

It is an arithmetic number, because the mean of its divisors is an integer number (174815550).

Almost surely, 2^10140887040 is an apocalyptic number.

10140887040 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 10140887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782292800).

10140887040 is an abundant number, since it is smaller than the sum of its proper divisors (23423698560).

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

10140887040 is a wasteful number, since it uses less digits than its factorization.

10140887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 10140887040 in words is "ten billion, one hundred forty million, eight hundred eighty-seven thousand, forty".