14052947126400 has 1920 divisors, whose sum is σ = 64878769992960. Its totient is φ = 2916111974400.

The previous prime is 14052947126399. The next prime is 14052947126419. The reversal of 14052947126400 is 462174925041.

14052947126400 is a `hidden beast` number, since 1 + 40 + 52 + 94 + 71 + 2 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1438814317 + ... + 1438824083.

It is an arithmetic number, because the mean of its divisors is an integer number (33791026038).

Almost surely, 2^{14052947126400} is an apocalyptic number.

14052947126400 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 14052947126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32439384996480).

14052947126400 is an abundant number, since it is smaller than the sum of its proper divisors (50825822866560).

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

14052947126400 is a wasteful number, since it uses less digits than its factorization.

14052947126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14052947126400 in words is "fourteen trillion, fifty-two billion, nine hundred forty-seven million, one hundred twenty-six thousand, four hundred".