1304010221024 has 192 divisors, whose sum is σ = 3123133977600. Its totient is φ = 523516981248.

The previous prime is 1304010220951. The next prime is 1304010221029. The reversal of 1304010221024 is 4201220104031.

It is a super-2 number, since 2×1304010221024² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304010220987 and 1304010221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304010221029) 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, 354637874 + ... + 354641550.

It is an arithmetic number, because the mean of its divisors is an integer number (16266322800).

Almost surely, 2^{1304010221024} is an apocalyptic number.

1304010221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304010221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561566988800).

1304010221024 is an abundant number, since it is smaller than the sum of its proper divisors (1819123756576).

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

1304010221024 is a wasteful number, since it uses less digits than its factorization.

1304010221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1304010221024 its reverse (4201220104031), we get a palindrome (5505230325055).

The spelling of 1304010221024 in words is "one trillion, three hundred four billion, ten million, two hundred twenty-one thousand, twenty-four".