14785238400 has 384 divisors, whose sum is σ = 50090127360. Its totient is φ = 3832012800.

The previous prime is 14785238389. The next prime is 14785238423. The reversal of 14785238400 is 483258741.

It is a tau number, because it is divible by the number of its divisors (384).

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, 81686310 + ... + 81686490.

It is an arithmetic number, because the mean of its divisors is an integer number (130443040).

Almost surely, 2^14785238400 is an apocalyptic number.

14785238400 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 14785238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045063680).

14785238400 is an abundant number, since it is smaller than the sum of its proper divisors (35304888960).

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

14785238400 is a wasteful number, since it uses less digits than its factorization.

14785238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 14785238400 in words is "fourteen billion, seven hundred eighty-five million, two hundred thirty-eight thousand, four hundred".