14400240001 has 45 divisors (see below), whose sum is σ = 17581185153. Its totient is φ = 11793698280.

The previous prime is 14400239999. The next prime is 14400240037. The reversal of 14400240001 is 10004200441.

The square root of 14400240001 is 120001.

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

It is not a de Polignac number, because 14400240001 - 2¹ = 14400239999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14400240091) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 182281480 + ... + 182281558.

Almost surely, 2^14400240001 is an apocalyptic number.

14400240001 is the 120001-st square number.

14400240001 is the 60001-st centered octagonal number.

It is an amenable number.

14400240001 is a deficient number, since it is larger than the sum of its proper divisors (3180945152).

14400240001 is an frugal number, since it uses more digits than its factorization.

14400240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 14400240001 by its sum of digits (16), we get a square (230403840016 = 480004²).

Adding to 14400240001 its reverse (10004200441), we get a palindrome (24404440442).

The spelling of 14400240001 in words is "fourteen billion, four hundred million, two hundred forty thousand, one".