10380431808 has 168 divisors, whose sum is σ = 30356818128. Its totient is φ = 3390640128.

The previous prime is 10380431801. The next prime is 10380431843. The reversal of 10380431808 is 80813408301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380431801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7273591 + ... + 7275017.

It is an arithmetic number, because the mean of its divisors is an integer number (180695346).

Almost surely, 2^10380431808 is an apocalyptic number.

10380431808 is a gapful number since it is divisible by the number (18) 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 10380431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178409064).

10380431808 is an abundant number, since it is smaller than the sum of its proper divisors (19976386320).

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

10380431808 is a wasteful number, since it uses less digits than its factorization.

10380431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10380431808 in words is "ten billion, three hundred eighty million, four hundred thirty-one thousand, eight hundred eight".