14115241400 has 144 divisors (see below), whose sum is σ = 35955901800. Its totient is φ = 5122828800.

The previous prime is 14115241397. The next prime is 14115241451. The reversal of 14115241400 is 414251141.

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 35 ways as a sum of consecutive naturals, for example, 9673871 + ... + 9675329.

Almost surely, 2^14115241400 is an apocalyptic number.

14115241400 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 14115241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977950900).

14115241400 is an abundant number, since it is smaller than the sum of its proper divisors (21840660400).

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

14115241400 is a wasteful number, since it uses less digits than its factorization.

14115241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 14115241400 its reverse (414251141), we get a palindrome (14529492541).

The spelling of 14115241400 in words is "fourteen billion, one hundred fifteen million, two hundred forty-one thousand, four hundred".