14187221006400 has 1008 divisors, whose sum is σ = 55253369808000. Its totient is φ = 3431650590720.

The previous prime is 14187221006377. The next prime is 14187221006401. The reversal of 14187221006400 is 460012278141.

It is a happy number.

14187221006400 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 7 + 2 + 2 + 1 + 0 + 0 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14187221006401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2782351051 + ... + 2782356149.

It is an arithmetic number, because the mean of its divisors is an integer number (54814851000).

Almost surely, 2^{14187221006400} is an apocalyptic number.

14187221006400 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 14187221006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27626684904000).

14187221006400 is an abundant number, since it is smaller than the sum of its proper divisors (41066148801600).

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

14187221006400 is a wasteful number, since it uses less digits than its factorization.

14187221006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14187221006400 in words is "fourteen trillion, one hundred eighty-seven billion, two hundred twenty-one million, six thousand, four hundred".