10110839040 has 288 divisors, whose sum is σ = 36853810560. Its totient is φ = 2623021056.

The previous prime is 10110839021. The next prime is 10110839059. The reversal of 10110839040 is 4093801101.

It is an interprime number because it is at equal distance from previous prime (10110839021) and next prime (10110839059).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 10110838995 and 10110839013.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1274767 + ... + 1282673.

It is an arithmetic number, because the mean of its divisors is an integer number (127964620).

Almost surely, 2^10110839040 is an apocalyptic number.

10110839040 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 10110839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426905280).

10110839040 is an abundant number, since it is smaller than the sum of its proper divisors (26742971520).

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

10110839040 is an equidigital number, since it uses as much as digits as its factorization.

10110839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10110839040 in words is "ten billion, one hundred ten million, eight hundred thirty-nine thousand, forty".