14142804480 has 240 divisors, whose sum is σ = 55978363584. Its totient is φ = 3232604160.

The previous prime is 14142804457. The next prime is 14142804493. The reversal of 14142804480 is 8440824141.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117435 + ... + 205125.

Almost surely, 2^14142804480 is an apocalyptic number.

14142804480 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 14142804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989181792).

14142804480 is an abundant number, since it is smaller than the sum of its proper divisors (41835559104).

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

14142804480 is an equidigital number, since it uses as much as digits as its factorization.

14142804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87727 (or 87708 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 14142804480 in words is "fourteen billion, one hundred forty-two million, eight hundred four thousand, four hundred eighty".