14212972800 has 1296 divisors, whose sum is σ = 61351559360. Its totient is φ = 3224862720.

The previous prime is 14212972777. The next prime is 14212972811. The reversal of 14212972800 is 827921241.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 384134382 + ... + 384134418.

Almost surely, 2^14212972800 is an apocalyptic number.

14212972800 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 14212972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675779680).

14212972800 is an abundant number, since it is smaller than the sum of its proper divisors (47138586560).

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

14212972800 is a wasteful number, since it uses less digits than its factorization.

14212972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14212972800 in words is "fourteen billion, two hundred twelve million, nine hundred seventy-two thousand, eight hundred".