10280841120 has 576 divisors, whose sum is σ = 41157777024. Its totient is φ = 2309160960.

The previous prime is 10280841113. The next prime is 10280841121. The reversal of 10280841120 is 2114808201.

It is not an unprimeable number, because it can be changed into a prime (10280841121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19657179 + ... + 19657701.

It is an arithmetic number, because the mean of its divisors is an integer number (71454474).

Almost surely, 2^10280841120 is an apocalyptic number.

10280841120 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 10280841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578888512).

10280841120 is an abundant number, since it is smaller than the sum of its proper divisors (30876935904).

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

10280841120 is a wasteful number, since it uses less digits than its factorization.

10280841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10280841120 in words is "ten billion, two hundred eighty million, eight hundred forty-one thousand, one hundred twenty".