14641242000 has 960 divisors, whose sum is σ = 61581391872. Its totient is φ = 2927232000.

The previous prime is 14641241987. The next prime is 14641242019. The reversal of 14641242000 is 24214641.

It is a happy number.

It is a Cunningham number, because it is equal to 121001²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 218525967 + ... + 218526033.

Almost surely, 2^14641242000 is an apocalyptic number.

14641242000 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 14641242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30790695936).

14641242000 is an abundant number, since it is smaller than the sum of its proper divisors (46940149872).

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

14641242000 is a wasteful number, since it uses less digits than its factorization.

14641242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14641242000 its reverse (24214641), we get a palindrome (14665456641).

The spelling of 14641242000 in words is "fourteen billion, six hundred forty-one million, two hundred forty-two thousand".