10208903040 has 480 divisors, whose sum is σ = 42420688200. Its totient is φ = 2332882944.

The previous prime is 10208903021. The next prime is 10208903069. The reversal of 10208903040 is 4030980201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10208902995 and 10208903013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2538151 + ... + 2542169.

Almost surely, 2^10208903040 is an apocalyptic number.

10208903040 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 10208903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21210344100).

10208903040 is an abundant number, since it is smaller than the sum of its proper divisors (32211785160).

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

10208903040 is an equidigital number, since it uses as much as digits as its factorization.

10208903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10208903040 in words is "ten billion, two hundred eight million, nine hundred three thousand, forty".