14427201600 has 1344 divisors, whose sum is σ = 66116403200. Its totient is φ = 3023308800.

The previous prime is 14427201583. The next prime is 14427201667. The reversal of 14427201600 is 610272441.

14427201600 is a `hidden beast` number, since 14 + 4 + 27 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 465393585 + ... + 465393615.

Almost surely, 2^14427201600 is an apocalyptic number.

14427201600 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 14427201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33058201600).

14427201600 is an abundant number, since it is smaller than the sum of its proper divisors (51689201600).

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

14427201600 is an equidigital number, since it uses as much as digits as its factorization.

14427201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14427201600 in words is "fourteen billion, four hundred twenty-seven million, two hundred one thousand, six hundred".