14274460240 has 40 divisors (see below), whose sum is σ = 33894259200. Its totient is φ = 5588297856.

The previous prime is 14274460237. The next prime is 14274460273. The reversal of 14274460240 is 4206447241.

14274460240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14274460196 and 14274460205.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1894440 + ... + 1901959.

It is an arithmetic number, because the mean of its divisors is an integer number (847356480).

Almost surely, 2^14274460240 is an apocalyptic number.

14274460240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14274460240 is an abundant number, since it is smaller than the sum of its proper divisors (19619798960).

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

14274460240 is a wasteful number, since it uses less digits than its factorization.

14274460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796459 (or 3796453 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 14274460240 in words is "fourteen billion, two hundred seventy-four million, four hundred sixty thousand, two hundred forty".