14220728893440 has 768 divisors, whose sum is σ = 54133466063040. Its totient is φ = 3568954245120.

The previous prime is 14220728893411. The next prime is 14220728893451. The reversal of 14220728893440 is 4439882702241.

14220728893440 is a `hidden beast` number, since 1 + 4 + 220 + 72 + 8 + 8 + 9 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676812535 + ... + 676833545.

Almost surely, 2^{14220728893440} is an apocalyptic number.

14220728893440 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 14220728893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066733031520).

14220728893440 is an abundant number, since it is smaller than the sum of its proper divisors (39912737169600).

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

14220728893440 is an frugal number, since it uses more digits than its factorization.

14220728893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21078 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 14220728893440 in words is "fourteen trillion, two hundred twenty billion, seven hundred twenty-eight million, eight hundred ninety-three thousand, four hundred forty".