14006657280 has 576 divisors, whose sum is σ = 56361811968. Its totient is φ = 2879815680.

The previous prime is 14006657227. The next prime is 14006657303. The reversal of 14006657280 is 8275660041.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37551174 + ... + 37551546.

It is an arithmetic number, because the mean of its divisors is an integer number (97850368).

Almost surely, 2^14006657280 is an apocalyptic number.

14006657280 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 14006657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28180905984).

14006657280 is an abundant number, since it is smaller than the sum of its proper divisors (42355154688).

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

14006657280 is a wasteful number, since it uses less digits than its factorization.

14006657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 14006657280 in words is "fourteen billion, six million, six hundred fifty-seven thousand, two hundred eighty".