14941319120 has 240 divisors, whose sum is σ = 43682360400. Its totient is φ = 4710924288.

The previous prime is 14941319111. The next prime is 14941319131. The reversal of 14941319120 is 2191314941.

It can be written as a sum of positive squares in 8 ways, for example, as 1768707136 + 13172611984 = 42056^2 + 114772^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22880714 + ... + 22881366.

It is an arithmetic number, because the mean of its divisors is an integer number (182009835).

Almost surely, 2^14941319120 is an apocalyptic number.

14941319120 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 14941319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841180200).

14941319120 is an abundant number, since it is smaller than the sum of its proper divisors (28741041280).

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

14941319120 is a wasteful number, since it uses less digits than its factorization.

14941319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 14941319120 in words is "fourteen billion, nine hundred forty-one million, three hundred nineteen thousand, one hundred twenty".