1321041024 has 96 divisors (see below), whose sum is σ = 3821386140. Its totient is φ = 438036480.

The previous prime is 1321041017. The next prime is 1321041061. The reversal of 1321041024 is 4201401231.

It can be written as a sum of positive squares in 2 ways, for example, as 983951424 + 337089600 = 31368^2 + 18360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321040988 and 1321041006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224034 + ... + 229854.

Almost surely, 2^1321041024 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 1321041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910693070).

1321041024 is an abundant number, since it is smaller than the sum of its proper divisors (2500345116).

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

1321041024 is a wasteful number, since it uses less digits than its factorization.

1321041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321041024 is about 36346.1280468773. The cubic root of 1321041024 is about 1097.2496092183.

Adding to 1321041024 its reverse (4201401231), we get a palindrome (5522442255).

The spelling of 1321041024 in words is "one billion, three hundred twenty-one million, forty-one thousand, twenty-four".