413222322252300 has 288 divisors, whose sum is σ = 1305108730195200. Its totient is φ = 100111476326400.

The previous prime is 413222322252269. The next prime is 413222322252401. The reversal of 413222322252300 is 3252223222314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65207874732 + ... + 65207881068.

It is an arithmetic number, because the mean of its divisors is an integer number (4531627535400).

Almost surely, 2^{413222322252300} 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 413222322252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652554365097600).

413222322252300 is an abundant number, since it is smaller than the sum of its proper divisors (891886407942900).

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

413222322252300 is a wasteful number, since it uses less digits than its factorization.

413222322252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15801 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 413222322252300 its reverse (3252223222314), we get a palindrome (416474545474614).

The spelling of 413222322252300 in words is "four hundred thirteen trillion, two hundred twenty-two billion, three hundred twenty-two million, two hundred fifty-two thousand, three hundred".