1022441034024 has 192 divisors, whose sum is σ = 2827559854080. Its totient is φ = 333695376000.

The previous prime is 1022441034007. The next prime is 1022441034037. The reversal of 1022441034024 is 4204301442201.

1022441034024 is a `hidden beast` number, since 1 + 0 + 2 + 244 + 10 + 3 + 402 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508423179 + ... + 508425189.

It is an arithmetic number, because the mean of its divisors is an integer number (14726874240).

Almost surely, 2^{1022441034024} 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 1022441034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413779927040).

1022441034024 is an abundant number, since it is smaller than the sum of its proper divisors (1805118820056).

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

1022441034024 is a wasteful number, since it uses less digits than its factorization.

1022441034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1022441034024 its reverse (4204301442201), we get a palindrome (5226742476225).

The spelling of 1022441034024 in words is "one trillion, twenty-two billion, four hundred forty-one million, thirty-four thousand, twenty-four".