14042961009 has 243 divisors, whose sum is σ = 28424360601. Its totient is φ = 6911094960.

The previous prime is 14042960989. The next prime is 14042961041. The reversal of 14042961009 is 90016924041.

It is a happy number.

The square root of 14042961009 is 118503.

It is a perfect power (a square), and thus also a powerful number.

14042961009 is a `hidden beast` number, since 14 + 0 + 4 + 29 + 610 + 0 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 14042961009 - 2⁵ = 14042960977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14042961109) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 739103202 + ... + 739103220.

Almost surely, 2^14042961009 is an apocalyptic number.

14042961009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14042961009 is the 118503-rd square number.

14042961009 is the 59252-nd centered octagonal number.

It is an amenable number.

14042961009 is an abundant number, since it is smaller than the sum of its proper divisors (14381399592).

14042961009 is an frugal number, since it uses more digits than its factorization.

14042961009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

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

Multiplying 14042961009 by its sum of digits (36), we get a square (505546596324 = 711018²).

The spelling of 14042961009 in words is "fourteen billion, forty-two million, nine hundred sixty-one thousand, nine".