14728240800 has 1152 divisors, whose sum is σ = 67195699200. Its totient is φ = 3030773760.

The previous prime is 14728240799. The next prime is 14728240823. The reversal of 14728240800 is 804282741.

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

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, 115970337 + ... + 115970463.

It is an arithmetic number, because the mean of its divisors is an integer number (58329600).

Almost surely, 2^14728240800 is an apocalyptic number.

14728240800 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 14728240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33597849600).

14728240800 is an abundant number, since it is smaller than the sum of its proper divisors (52467458400).

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

14728240800 is a wasteful number, since it uses less digits than its factorization.

14728240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14728240800 in words is "fourteen billion, seven hundred twenty-eight million, two hundred forty thousand, eight hundred".