11340350811840 has 448 divisors, whose sum is σ = 39111546636288. Its totient is φ = 2772654489600.

The previous prime is 11340350811833. The next prime is 11340350811863. The reversal of 11340350811840 is 4811805304311.

It is a super-3 number, since 3×11340350811840³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462349657 + ... + 462374183.

It is an arithmetic number, because the mean of its divisors is an integer number (87302559456).

Almost surely, 2^{11340350811840} is an apocalyptic number.

11340350811840 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 11340350811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19555773318144).

11340350811840 is an abundant number, since it is smaller than the sum of its proper divisors (27771195824448).

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

11340350811840 is a wasteful number, since it uses less digits than its factorization.

11340350811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25296 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 11340350811840 in words is "eleven trillion, three hundred forty billion, three hundred fifty million, eight hundred eleven thousand, eight hundred forty".