14426380800 has 960 divisors, whose sum is σ = 60381552000. Its totient is φ = 3364208640.

The previous prime is 14426380783. The next prime is 14426380849. The reversal of 14426380800 is 808362441.

14426380800 is a `hidden beast` number, since 1 + 442 + 63 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759283191 + ... + 759283209.

It is an arithmetic number, because the mean of its divisors is an integer number (62897450).

Almost surely, 2^14426380800 is an apocalyptic number.

14426380800 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 14426380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30190776000).

14426380800 is an abundant number, since it is smaller than the sum of its proper divisors (45955171200).

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

14426380800 is an equidigital number, since it uses as much as digits as its factorization.

14426380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14426380800 in words is "fourteen billion, four hundred twenty-six million, three hundred eighty thousand, eight hundred".