1041322284304 has 135 divisors (see below), whose sum is σ = 2210068922373. Its totient is φ = 475220414592.

The previous prime is 1041322284293. The next prime is 1041322284307. The reversal of 1041322284304 is 4034822231401.

The square root of 1041322284304 is 1020452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 546044146704 + 495278137600 = 738948^2 + 703760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1041322284304.

It is not an unprimeable number, because it can be changed into a prime (1041322284307) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2249075977 + ... + 2249076439.

Almost surely, 2^{1041322284304} is an apocalyptic number.

1041322284304 is the 1020452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041322284304

1041322284304 is an abundant number, since it is smaller than the sum of its proper divisors (1168746638069).

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

1041322284304 is an frugal number, since it uses more digits than its factorization.

1041322284304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 1041322284304 in words is "one trillion, forty-one billion, three hundred twenty-two million, two hundred eighty-four thousand, three hundred four".