1004253224240 has 120 divisors (see below), whose sum is σ = 2717535173760. Its totient is φ = 344132834304.

The previous prime is 1004253224213. The next prime is 1004253224353. The reversal of 1004253224240 is 424223524001.

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 23 ways as a sum of consecutive naturals, for example, 7432001 + ... + 7565919.

It is an arithmetic number, because the mean of its divisors is an integer number (22646126448).

Almost surely, 2^{1004253224240} is an apocalyptic number.

1004253224240 is a gapful number since it is divisible by the number (10) 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 1004253224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358767586880).

1004253224240 is an abundant number, since it is smaller than the sum of its proper divisors (1713281949520).

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

1004253224240 is a wasteful number, since it uses less digits than its factorization.

1004253224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135859 (or 135846 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 1004253224240 its reverse (424223524001), we get a palindrome (1428476748241).

The spelling of 1004253224240 in words is "one trillion, four billion, two hundred fifty-three million, two hundred twenty-four thousand, two hundred forty".