10040876496 has 240 divisors, whose sum is σ = 33971159040. Its totient is φ = 2704492800.

The previous prime is 10040876491. The next prime is 10040876501. The reversal of 10040876496 is 69467804001.

It is an interprime number because it is at equal distance from previous prime (10040876491) and next prime (10040876501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040876491) by changing a digit.

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, 4269721 + ... + 4272071.

It is an arithmetic number, because the mean of its divisors is an integer number (141546496).

Almost surely, 2^10040876496 is an apocalyptic number.

10040876496 is a gapful number since it is divisible by the number (16) 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 10040876496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985579520).

10040876496 is an abundant number, since it is smaller than the sum of its proper divisors (23930282544).

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

10040876496 is a wasteful number, since it uses less digits than its factorization.

10040876496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10040876496 in words is "ten billion, forty million, eight hundred seventy-six thousand, four hundred ninety-six".