14940280320 has 720 divisors, whose sum is σ = 59071375440. Its totient is φ = 3208052736.

The previous prime is 14940280307. The next prime is 14940280339. The reversal of 14940280320 is 2308204941.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 403791342 + ... + 403791378.

It is an arithmetic number, because the mean of its divisors is an integer number (82043577).

Almost surely, 2^14940280320 is an apocalyptic number.

14940280320 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 14940280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29535687720).

14940280320 is an abundant number, since it is smaller than the sum of its proper divisors (44131095120).

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

14940280320 is an equidigital number, since it uses as much as digits as its factorization.

14940280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14940280320 in words is "fourteen billion, nine hundred forty million, two hundred eighty thousand, three hundred twenty".