14389160940 has 576 divisors, whose sum is σ = 57955322880. Its totient is φ = 2799360000.

The previous prime is 14389160909. The next prime is 14389160963. The reversal of 14389160940 is 4906198341.

14389160940 is a `hidden beast` number, since 1 + 4 + 38 + 9 + 1 + 609 + 4 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26597070 + ... + 26597610.

It is an arithmetic number, because the mean of its divisors is an integer number (100616880).

Almost surely, 2^14389160940 is an apocalyptic number.

14389160940 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 14389160940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977661440).

14389160940 is an abundant number, since it is smaller than the sum of its proper divisors (43566161940).

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

14389160940 is a wasteful number, since it uses less digits than its factorization.

14389160940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14389160940 in words is "fourteen billion, three hundred eighty-nine million, one hundred sixty thousand, nine hundred forty".