13807170109440 has 720 divisors, whose sum is σ = 50340366760320. Its totient is φ = 3629682524160.

The previous prime is 13807170109433. The next prime is 13807170109519. The reversal of 13807170109440 is 4490107170831.

13807170109440 is a `hidden beast` number, since 1 + 38 + 0 + 7 + 1 + 70 + 109 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13807170109440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1413360876 + ... + 1413370644.

It is an arithmetic number, because the mean of its divisors is an integer number (69917176056).

Almost surely, 2^{13807170109440} is an apocalyptic number.

13807170109440 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 13807170109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25170183380160).

13807170109440 is an abundant number, since it is smaller than the sum of its proper divisors (36533196650880).

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

13807170109440 is an frugal number, since it uses more digits than its factorization.

13807170109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 13807170109440 in words is "thirteen trillion, eight hundred seven billion, one hundred seventy million, one hundred nine thousand, four hundred forty".