13188214440 has 144 divisors (see below), whose sum is σ = 45531642780. Its totient is φ = 3309957120.

The previous prime is 13188214439. The next prime is 13188214477. The reversal of 13188214440 is 4441288131.

It is a happy number.

13188214440 is a `hidden beast` number, since 13 + 188 + 21 + 4 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12754991844 + 433222596 = 112938^2 + 20814^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13188214395 and 13188214404.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 40660 + ... + 167420.

Almost surely, 2^13188214440 is an apocalyptic number.

13188214440 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 13188214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22765821390).

13188214440 is an abundant number, since it is smaller than the sum of its proper divisors (32343428340).

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

13188214440 is a wasteful number, since it uses less digits than its factorization.

13188214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126812 (or 126788 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 13188214440 in words is "thirteen billion, one hundred eighty-eight million, two hundred fourteen thousand, four hundred forty".