14306442880 has 64 divisors (see below), whose sum is σ = 34419424680. Its totient is φ = 5686087680.

The previous prime is 14306442869. The next prime is 14306442881. The reversal of 14306442880 is 8824460341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10262500416 + 4043942464 = 101304^2 + 63592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14306442881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29290 + ... + 171670.

Almost surely, 2^14306442880 is an apocalyptic number.

14306442880 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 14306442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209712340).

14306442880 is an abundant number, since it is smaller than the sum of its proper divisors (20112981800).

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

14306442880 is a wasteful number, since it uses less digits than its factorization.

14306442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142557 (or 142545 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 14306442880 in words is "fourteen billion, three hundred six million, four hundred forty-two thousand, eight hundred eighty".