13782781340840 has 32 divisors (see below), whose sum is σ = 31014212133960. Its totient is φ = 5512587360000.

The previous prime is 13782781340773. The next prime is 13782781340849. The reversal of 13782781340840 is 4804318728731.

It can be written as a sum of positive squares in 4 ways, for example, as 12637072277956 + 1145709062884 = 3554866^2 + 1070378^2 .

It is a super-2 number, since 2×13782781340840² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13782781340849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15986471 + ... + 16826550.

Almost surely, 2^{13782781340840} is an apocalyptic number.

13782781340840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782781340840 is an abundant number, since it is smaller than the sum of its proper divisors (17231430793120).

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

13782781340840 is a wasteful number, since it uses less digits than its factorization.

13782781340840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32823533 (or 32823529 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 13782781340840 in words is "thirteen trillion, seven hundred eighty-two billion, seven hundred eighty-one million, three hundred forty thousand, eight hundred forty".