1331424224 has 96 divisors (see below), whose sum is σ = 3031045920. Its totient is φ = 570212352.

The previous prime is 1331424197. The next prime is 1331424251. The reversal of 1331424224 is 4224241331.

It is an interprime number because it is at equal distance from previous prime (1331424197) and next prime (1331424251).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1331424193 and 1331424202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514967 + ... + 517545.

It is an arithmetic number, because the mean of its divisors is an integer number (31573395).

Almost surely, 2^1331424224 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 1331424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515522960).

1331424224 is an abundant number, since it is smaller than the sum of its proper divisors (1699621696).

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

1331424224 is a wasteful number, since it uses less digits than its factorization.

1331424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 1331424224 is about 36488.6862465614. The cubic root of 1331424224 is about 1100.1168537018.

Adding to 1331424224 its reverse (4224241331), we get a palindrome (5555665555).

The spelling of 1331424224 in words is "one billion, three hundred thirty-one million, four hundred twenty-four thousand, two hundred twenty-four".