14212622006400 has 192 divisors, whose sum is σ = 46817367559200. Its totient is φ = 3789664665600.

The previous prime is 14212622006399. The next prime is 14212622006411. The reversal of 14212622006400 is 460022621241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107175336 + ... + 107307864.

Almost surely, 2^{14212622006400} is an apocalyptic number.

14212622006400 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 14212622006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408683779600).

14212622006400 is an abundant number, since it is smaller than the sum of its proper divisors (32604745552800).

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

14212622006400 is a wasteful number, since it uses less digits than its factorization.

14212622006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143727 (or 143710 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14212622006400 its reverse (460022621241), we get a palindrome (14672644627641).

The spelling of 14212622006400 in words is "fourteen trillion, two hundred twelve billion, six hundred twenty-two million, six thousand, four hundred".