14126971200 has 336 divisors, whose sum is σ = 49103523840. Its totient is φ = 3545856000.

The previous prime is 14126971139. The next prime is 14126971217. The reversal of 14126971200 is 217962141.

It is a happy number.

It is a super-4 number, since 4×14126971200⁴ (a number of 42 digits) contains 4444 as substring.

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, 17418795 + ... + 17419605.

It is an arithmetic number, because the mean of its divisors is an integer number (146141440).

Almost surely, 2^14126971200 is an apocalyptic number.

14126971200 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 14126971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24551761920).

14126971200 is an abundant number, since it is smaller than the sum of its proper divisors (34976552640).

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

14126971200 is a wasteful number, since it uses less digits than its factorization.

14126971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 14126971200 in words is "fourteen billion, one hundred twenty-six million, nine hundred seventy-one thousand, two hundred".