1002241324224 has 420 divisors, whose sum is σ = 3364565569560. Its totient is φ = 285224970240.

The previous prime is 1002241324211. The next prime is 1002241324241. The reversal of 1002241324224 is 4224231422001.

It is a happy number.

1002241324224 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 413 + 24 + 224 = 666.

1002241324224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 388614967 + ... + 388617545.

Almost surely, 2^{1002241324224} is an apocalyptic number.

1002241324224 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 1002241324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682282784780).

1002241324224 is an abundant number, since it is smaller than the sum of its proper divisors (2362324245336).

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

1002241324224 is an equidigital number, since it uses as much as digits as its factorization.

1002241324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2872 counting only the distinct ones).

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

Adding to 1002241324224 its reverse (4224231422001), we get a palindrome (5226472746225).

The spelling of 1002241324224 in words is "one trillion, two billion, two hundred forty-one million, three hundred twenty-four thousand, two hundred twenty-four".