10040609880 has 256 divisors, whose sum is σ = 38416896000. Its totient is φ = 2284982784.

The previous prime is 10040609863. The next prime is 10040609893. The reversal of 10040609880 is 8890604001.

It is a happy number.

10040609880 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 609 + 8 + 8 + 0 = 666.

10040609880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10040609880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1804062 + ... + 1809618.

It is an arithmetic number, because the mean of its divisors is an integer number (150066000).

Almost surely, 2^10040609880 is an apocalyptic number.

10040609880 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 10040609880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208448000).

10040609880 is an abundant number, since it is smaller than the sum of its proper divisors (28376286120).

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

10040609880 is a wasteful number, since it uses less digits than its factorization.

10040609880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10040609880 in words is "ten billion, forty million, six hundred nine thousand, eight hundred eighty".