414131142300 has 144 divisors (see below), whose sum is σ = 1224173647872. Its totient is φ = 108044652800.

The previous prime is 414131142287. The next prime is 414131142319. The reversal of 414131142300 is 3241131414.

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 47 ways as a sum of consecutive naturals, for example, 62925010 + ... + 62931590.

It is an arithmetic number, because the mean of its divisors is an integer number (8501205888).

Almost surely, 2^414131142300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414131142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612086823936).

414131142300 is an abundant number, since it is smaller than the sum of its proper divisors (810042505572).

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

414131142300 is a wasteful number, since it uses less digits than its factorization.

414131142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11108 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414131142300 its reverse (3241131414), we get a palindrome (417372273714).

The spelling of 414131142300 in words is "four hundred fourteen billion, one hundred thirty-one million, one hundred forty-two thousand, three hundred".