13766445440 has 256 divisors, whose sum is σ = 38203488000. Its totient is φ = 4690944000.

The previous prime is 13766445439. The next prime is 13766445449. The reversal of 13766445440 is 4454466731.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 13766445391 and 13766445400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766445449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13509251 + ... + 13510269.

It is an arithmetic number, because the mean of its divisors is an integer number (149232375).

Almost surely, 2^13766445440 is an apocalyptic number.

13766445440 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 13766445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101744000).

13766445440 is an abundant number, since it is smaller than the sum of its proper divisors (24437042560).

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

13766445440 is a wasteful number, since it uses less digits than its factorization.

13766445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 13766445440 in words is "thirteen billion, seven hundred sixty-six million, four hundred forty-five thousand, four hundred forty".