14396421600 has 720 divisors, whose sum is σ = 60344887680. Its totient is φ = 3303244800.

The previous prime is 14396421563. The next prime is 14396421653. The reversal of 14396421600 is 612469341.

14396421600 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 6 + 42 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13542669 + ... + 13543731.

It is an arithmetic number, because the mean of its divisors is an integer number (83812344).

Almost surely, 2^14396421600 is an apocalyptic number.

14396421600 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 14396421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30172443840).

14396421600 is an abundant number, since it is smaller than the sum of its proper divisors (45948466080).

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

14396421600 is a wasteful number, since it uses less digits than its factorization.

14396421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14396421600 in words is "fourteen billion, three hundred ninety-six million, four hundred twenty-one thousand, six hundred".