14107399680 has 960 divisors, whose sum is σ = 56426388480. Its totient is φ = 2984509440.

The previous prime is 14107399673. The next prime is 14107399681. The reversal of 14107399680 is 8699370141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107399681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300157417 + ... + 300157463.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 2^14107399680 is an apocalyptic number.

14107399680 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 14107399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28213194240).

14107399680 is an abundant number, since it is smaller than the sum of its proper divisors (42318988800).

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

14107399680 is a wasteful number, since it uses less digits than its factorization.

14107399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 14107399680 in words is "fourteen billion, one hundred seven million, three hundred ninety-nine thousand, six hundred eighty".