13335771840 has 224 divisors, whose sum is σ = 42968387520. Its totient is φ = 3503947776.

The previous prime is 13335771821. The next prime is 13335771853. The reversal of 13335771840 is 4817753331.

It is a junction number, because it is equal to n+sod(n) for n = 13335771792 and 13335771801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29180892 + ... + 29181348.

Almost surely, 2^13335771840 is an apocalyptic number.

13335771840 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 13335771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484193760).

13335771840 is an abundant number, since it is smaller than the sum of its proper divisors (29632615680).

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

13335771840 is a wasteful number, since it uses less digits than its factorization.

13335771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13335771840 in words is "thirteen billion, three hundred thirty-five million, seven hundred seventy-one thousand, eight hundred forty".