413141241514300 has 144 divisors (see below), whose sum is σ = 969101623526400. Its totient is φ = 151972955539200.

The previous prime is 413141241514277. The next prime is 413141241514307. The reversal of 413141241514300 is 3415142141314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413141241514307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484475295 + ... + 485327305.

It is an arithmetic number, because the mean of its divisors is an integer number (6729872385600).

Almost surely, 2^{413141241514300} 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 413141241514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484550811763200).

413141241514300 is an abundant number, since it is smaller than the sum of its proper divisors (555960382012100).

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

413141241514300 is a wasteful number, since it uses less digits than its factorization.

413141241514300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853436 (or 853429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 413141241514300 its reverse (3415142141314), we get a palindrome (416556383655614).

The spelling of 413141241514300 in words is "four hundred thirteen trillion, one hundred forty-one billion, two hundred forty-one million, five hundred fourteen thousand, three hundred".