14283302400 has 480 divisors, whose sum is σ = 53891803680. Its totient is φ = 3702620160.

The previous prime is 14283302393. The next prime is 14283302461. The reversal of 14283302400 is 420338241.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 12786642 + ... + 12787758.

It is an arithmetic number, because the mean of its divisors is an integer number (112274591).

Almost surely, 2^14283302400 is an apocalyptic number.

14283302400 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 14283302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26945901840).

14283302400 is an abundant number, since it is smaller than the sum of its proper divisors (39608501280).

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

14283302400 is a wasteful number, since it uses less digits than its factorization.

14283302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14283302400 in words is "fourteen billion, two hundred eighty-three million, three hundred two thousand, four hundred".