13820409280 has 56 divisors (see below), whose sum is σ = 34340730912. Its totient is φ = 5287805952.

The previous prime is 13820409241. The next prime is 13820409283. The reversal of 13820409280 is 8290402831.

13820409280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820409283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931527 + ... + 946246.

Almost surely, 2^13820409280 is an apocalyptic number.

13820409280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13820409280 is an abundant number, since it is smaller than the sum of its proper divisors (20520321632).

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

13820409280 is a wasteful number, since it uses less digits than its factorization.

13820409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877813 (or 1877803 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 13820409280 in words is "thirteen billion, eight hundred twenty million, four hundred nine thousand, two hundred eighty".