411222001024 has 128 divisors (see below), whose sum is σ = 876485836800. Its totient is φ = 191502065664.

The previous prime is 411222000989. The next prime is 411222001027. The reversal of 411222001024 is 420100222114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 411222000992 and 411222001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411222001027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 122422257 + ... + 122425615.

It is an arithmetic number, because the mean of its divisors is an integer number (6847545600).

Almost surely, 2^411222001024 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 411222001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438242918400).

411222001024 is an abundant number, since it is smaller than the sum of its proper divisors (465263835776).

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

411222001024 is a wasteful number, since it uses less digits than its factorization.

411222001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 411222001024 its reverse (420100222114), we get a palindrome (831322223138).

The spelling of 411222001024 in words is "four hundred eleven billion, two hundred twenty-two million, one thousand, twenty-four".