10008440000 has 280 divisors, whose sum is σ = 28161173040. Its totient is φ = 3497472000.

The previous prime is 10008439997. The next prime is 10008440003. The reversal of 10008440000 is 4480001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10008439997) and next prime (10008440003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9879494 + ... + 9880506.

It is an arithmetic number, because the mean of its divisors is an integer number (100575618).

Almost surely, 2^10008440000 is an apocalyptic number.

10008440000 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 10008440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080586520).

10008440000 is an abundant number, since it is smaller than the sum of its proper divisors (18152733040).

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

10008440000 is a wasteful number, since it uses less digits than its factorization.

10008440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The spelling of 10008440000 in words is "ten billion, eight million, four hundred forty thousand".