14084340480 has 432 divisors, whose sum is σ = 58146812640. Its totient is φ = 3218890752.

The previous prime is 14084340449. The next prime is 14084340499. The reversal of 14084340480 is 8404348041.

14084340480 is a `hidden beast` number, since 140 + 8 + 4 + 34 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1689282 + ... + 1697598.

Almost surely, 2^14084340480 is an apocalyptic number.

14084340480 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 14084340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29073406320).

14084340480 is an abundant number, since it is smaller than the sum of its proper divisors (44062472160).

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

14084340480 is an equidigital number, since it uses as much as digits as its factorization.

14084340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14084340480 in words is "fourteen billion, eighty-four million, three hundred forty thousand, four hundred eighty".