14025241132100 has 288 divisors, whose sum is σ = 36498573941760. Its totient is φ = 4617784512000.

The previous prime is 14025241132087. The next prime is 14025241132139. The reversal of 14025241132100 is 123114252041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14025241132100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 616726730 + ... + 616749470.

It is an arithmetic number, because the mean of its divisors is an integer number (126731159520).

Almost surely, 2^{14025241132100} is an apocalyptic number.

14025241132100 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 14025241132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249286970880).

14025241132100 is an abundant number, since it is smaller than the sum of its proper divisors (22473332809660).

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

14025241132100 is a wasteful number, since it uses less digits than its factorization.

14025241132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24091 (or 24084 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 14025241132100 its reverse (123114252041), we get a palindrome (14148355384141).

The spelling of 14025241132100 in words is "fourteen trillion, twenty-five billion, two hundred forty-one million, one hundred thirty-two thousand, one hundred".