14202136166400 has 2880 divisors, whose sum is σ = 66259873680000. Its totient is φ = 2996494663680.

The previous prime is 14202136166399. The next prime is 14202136166411. The reversal of 14202136166400 is 466163120241.

14202136166400 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 2 + 1 + 3 + 6 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1092472012794 + ... + 1092472012806.

Almost surely, 2^{14202136166400} is an apocalyptic number.

14202136166400 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 14202136166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129936840000).

14202136166400 is an abundant number, since it is smaller than the sum of its proper divisors (52057737513600).

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

14202136166400 is an frugal number, since it uses more digits than its factorization.

14202136166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 14202136166400 its reverse (466163120241), we get a palindrome (14668299286641).

The spelling of 14202136166400 in words is "fourteen trillion, two hundred two billion, one hundred thirty-six million, one hundred sixty-six thousand, four hundred".