14207238000 has 960 divisors, whose sum is σ = 56780365824. Its totient is φ = 3421440000.

The previous prime is 14207237983. The next prime is 14207238037. The reversal of 14207238000 is 83270241.

14207238000 is a `hidden beast` number, since 1 + 420 + 7 + 238 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×14207238000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346517980 + ... + 346518020.

Almost surely, 2^14207238000 is an apocalyptic number.

14207238000 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 14207238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28390182912).

14207238000 is an abundant number, since it is smaller than the sum of its proper divisors (42573127824).

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

14207238000 is a wasteful number, since it uses less digits than its factorization.

14207238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14207238000 in words is "fourteen billion, two hundred seven million, two hundred thirty-eight thousand".