14141149760 has 168 divisors, whose sum is σ = 35804831616. Its totient is φ = 5318784000.

The previous prime is 14141149723. The next prime is 14141149787. The reversal of 14141149760 is 6794114141.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 18829385 + ... + 18830135.

Almost surely, 2^14141149760 is an apocalyptic number.

14141149760 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 14141149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902415808).

14141149760 is an abundant number, since it is smaller than the sum of its proper divisors (21663681856).

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

14141149760 is a wasteful number, since it uses less digits than its factorization.

14141149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 14141149760 in words is "fourteen billion, one hundred forty-one million, one hundred forty-nine thousand, seven hundred sixty".