13943677440 has 1280 divisors, whose sum is σ = 62790266880. Its totient is φ = 2548039680.

The previous prime is 13943677417. The next prime is 13943677441. The reversal of 13943677440 is 4477634931.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×13943677440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13943677440.

It is not an unprimeable number, because it can be changed into a prime (13943677441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191009244 + ... + 191009316.

It is an arithmetic number, because the mean of its divisors is an integer number (49054896).

Almost surely, 2^13943677440 is an apocalyptic number.

13943677440 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 13943677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395133440).

13943677440 is an abundant number, since it is smaller than the sum of its proper divisors (48846589440).

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

13943677440 is a wasteful number, since it uses less digits than its factorization.

13943677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 13943677440 in words is "thirteen billion, nine hundred forty-three million, six hundred seventy-seven thousand, four hundred forty".