14476503040 has 216 divisors, whose sum is σ = 36873009810. Its totient is φ = 5454561280.

The previous prime is 14476502959. The next prime is 14476503059. The reversal of 14476503040 is 4030567441.

14476503040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 676832256 + 13799670784 = 26016^2 + 117472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14476502987 and 14476503005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 353085420 + ... + 353085460.

Almost surely, 2^14476503040 is an apocalyptic number.

14476503040 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 14476503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436504905).

14476503040 is an abundant number, since it is smaller than the sum of its proper divisors (22396506770).

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

14476503040 is an frugal number, since it uses more digits than its factorization.

14476503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 14476503040 in words is "fourteen billion, four hundred seventy-six million, five hundred three thousand, forty".