413033342442 has 64 divisors (see below), whose sum is σ = 967972771584. Its totient is φ = 115027637760.

The previous prime is 413033342429. The next prime is 413033342443. The reversal of 413033342442 is 244243330314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413033342443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816108 + ... + 2030840.

It is an arithmetic number, because the mean of its divisors is an integer number (15124574556).

Almost surely, 2^413033342442 is an apocalyptic number.

413033342442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413033342442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483986385792).

413033342442 is an abundant number, since it is smaller than the sum of its proper divisors (554939429142).

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

413033342442 is a wasteful number, since it uses less digits than its factorization.

413033342442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215903.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 413033342442 its reverse (244243330314), we get a palindrome (657276672756).

The spelling of 413033342442 in words is "four hundred thirteen billion, thirty-three million, three hundred forty-two thousand, four hundred forty-two".