413422103433020 has 288 divisors, whose sum is σ = 979142389311744. Its totient is φ = 146450541445120.

The previous prime is 413422103433019. The next prime is 413422103433049. The reversal of 413422103433020 is 20334301224314.

It is a super-3 number, since 3×413422103433020³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43642147004 + ... + 43642156476.

It is an arithmetic number, because the mean of its divisors is an integer number (3399799962888).

Almost surely, 2^{413422103433020} 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 413422103433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489571194655872).

413422103433020 is an abundant number, since it is smaller than the sum of its proper divisors (565720285878724).

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

413422103433020 is a wasteful number, since it uses less digits than its factorization.

413422103433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 413422103433020 its reverse (20334301224314), we get a palindrome (433756404657334).

The spelling of 413422103433020 in words is "four hundred thirteen trillion, four hundred twenty-two billion, one hundred three million, four hundred thirty-three thousand, twenty".