1021424224000 has 144 divisors (see below), whose sum is σ = 2546572260960. Its totient is φ = 408236236800.

The previous prime is 1021424223979. The next prime is 1021424224001. The reversal of 1021424224000 is 4224241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021424224001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41235619 + ... + 41260381.

It is an arithmetic number, because the mean of its divisors is an integer number (17684529590).

Almost surely, 2^{1021424224000} is an apocalyptic number.

1021424224000 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 1021424224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273286130480).

1021424224000 is an abundant number, since it is smaller than the sum of its proper divisors (1525148036960).

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

1021424224000 is an equidigital number, since it uses as much as digits as its factorization.

1021424224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26083 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1021424224000 its reverse (4224241201), we get a palindrome (1025648465201).

The spelling of 1021424224000 in words is "one trillion, twenty-one billion, four hundred twenty-four million, two hundred twenty-four thousand".