14091240960 has 480 divisors, whose sum is σ = 51119228160. Its totient is φ = 3583180800.

The previous prime is 14091240949. The next prime is 14091240967. The reversal of 14091240960 is 6904219041.

It is a happy number.

14091240960 is a `hidden beast` number, since 1 + 409 + 1 + 240 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091240967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77852070 + ... + 77852250.

It is an arithmetic number, because the mean of its divisors is an integer number (106498392).

Almost surely, 2^14091240960 is an apocalyptic number.

14091240960 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 14091240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559614080).

14091240960 is an abundant number, since it is smaller than the sum of its proper divisors (37027987200).

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

14091240960 is a wasteful number, since it uses less digits than its factorization.

14091240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14091240960 in words is "fourteen billion, ninety-one million, two hundred forty thousand, nine hundred sixty".