14149242000 has 400 divisors, whose sum is σ = 51512452992. Its totient is φ = 3743366400.

The previous prime is 14149241987. The next prime is 14149242059. The reversal of 14149242000 is 24294141.

It is a happy number.

14149242000 is a `hidden beast` number, since 1 + 414 + 9 + 242 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27053739 + ... + 27054261.

Almost surely, 2^14149242000 is an apocalyptic number.

14149242000 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 14149242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756226496).

14149242000 is an abundant number, since it is smaller than the sum of its proper divisors (37363210992).

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

14149242000 is a wasteful number, since it uses less digits than its factorization.

14149242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14149242000 in words is "fourteen billion, one hundred forty-nine million, two hundred forty-two thousand".