10814307840 has 960 divisors, whose sum is σ = 46574161920. Its totient is φ = 2368880640.

The previous prime is 10814307839. The next prime is 10814307851. The reversal of 10814307840 is 4870341801.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 10814307795 and 10814307804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104993229 + ... + 104993331.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 2^10814307840 is an apocalyptic number.

10814307840 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 10814307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287080960).

10814307840 is an abundant number, since it is smaller than the sum of its proper divisors (35759854080).

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

10814307840 is a wasteful number, since it uses less digits than its factorization.

10814307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10814307840 in words is "ten billion, eight hundred fourteen million, three hundred seven thousand, eight hundred forty".