10818714240 has 512 divisors, whose sum is σ = 40468377600. Its totient is φ = 2726203392.

The previous prime is 10818714187. The next prime is 10818714259. The reversal of 10818714240 is 4241781801.

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 = 10818714195 and 10818714204.

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 63 ways as a sum of consecutive naturals, for example, 64782637 + ... + 64782803.

It is an arithmetic number, because the mean of its divisors is an integer number (79039800).

Almost surely, 2^10818714240 is an apocalyptic number.

10818714240 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 10818714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234188800).

10818714240 is an abundant number, since it is smaller than the sum of its proper divisors (29649663360).

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

10818714240 is a wasteful number, since it uses less digits than its factorization.

10818714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10818714240 in words is "ten billion, eight hundred eighteen million, seven hundred fourteen thousand, two hundred forty".