413234121341100 has 144 divisors (see below), whose sum is σ = 1206646555268000. Its totient is φ = 109179956920320.

The previous prime is 413234121341089. The next prime is 413234121341113. The reversal of 413234121341100 is 1143121432314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770045676 + ... + 770582124.

Almost surely, 2^{413234121341100} 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 413234121341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603323277634000).

413234121341100 is an abundant number, since it is smaller than the sum of its proper divisors (793412433926900).

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

413234121341100 is a wasteful number, since it uses less digits than its factorization.

413234121341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560132 (or 560125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 413234121341100 its reverse (1143121432314), we get a palindrome (414377242773414).

The spelling of 413234121341100 in words is "four hundred thirteen trillion, two hundred thirty-four billion, one hundred twenty-one million, three hundred forty-one thousand, one hundred".