13168189440 has 756 divisors, whose sum is σ = 55138985226. Its totient is φ = 3009871872.

The previous prime is 13168189417. The next prime is 13168189451. The reversal of 13168189440 is 4498186131.

13168189440 is a `hidden beast` number, since 13 + 16 + 8 + 189 + 440 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11851370496 + 1316818944 = 108864^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1881169917 + ... + 1881169923.

Almost surely, 2^13168189440 is an apocalyptic number.

13168189440 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 13168189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27569492613).

13168189440 is an abundant number, since it is smaller than the sum of its proper divisors (41970795786).

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

13168189440 is an frugal number, since it uses more digits than its factorization.

13168189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 13168189440 in words is "thirteen billion, one hundred sixty-eight million, one hundred eighty-nine thousand, four hundred forty".