10408849920 has 800 divisors, whose sum is σ = 43634992896. Its totient is φ = 2322432000.

The previous prime is 10408849903. The next prime is 10408849967. The reversal of 10408849920 is 2994880401.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 103057870 + ... + 103057970.

Almost surely, 2^10408849920 is an apocalyptic number.

10408849920 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 10408849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817496448).

10408849920 is an abundant number, since it is smaller than the sum of its proper divisors (33226142976).

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

10408849920 is an equidigital number, since it uses as much as digits as its factorization.

10408849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10408849920 in words is "ten billion, four hundred eight million, eight hundred forty-nine thousand, nine hundred twenty".