14077002960 has 200 divisors, whose sum is σ = 48962703240. Its totient is φ = 3748405248.

The previous prime is 14077002959. The next prime is 14077003049. The reversal of 14077002960 is 6920077041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 14062165056 = 3852^2 + 118584^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 6537244 + ... + 6539396.

Almost surely, 2^14077002960 is an apocalyptic number.

14077002960 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 14077002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24481351620).

14077002960 is an abundant number, since it is smaller than the sum of its proper divisors (34885700280).

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

14077002960 is a wasteful number, since it uses less digits than its factorization.

14077002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 14077002960 in words is "fourteen billion, seventy-seven million, two thousand, nine hundred sixty".