10440933000 has 128 divisors (see below), whose sum is σ = 32741280000. Its totient is φ = 2770099200.

The previous prime is 10440932977. The next prime is 10440933079. The reversal of 10440933000 is 33904401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 588256 + ... + 605744.

It is an arithmetic number, because the mean of its divisors is an integer number (255791250).

Almost surely, 2^10440933000 is an apocalyptic number.

10440933000 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 10440933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370640000).

10440933000 is an abundant number, since it is smaller than the sum of its proper divisors (22300347000).

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

10440933000 is a wasteful number, since it uses less digits than its factorization.

10440933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17712 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 10440933000 in words is "ten billion, four hundred forty million, nine hundred thirty-three thousand".