1331243424 has 288 divisors, whose sum is σ = 4615019136. Its totient is φ = 369515520.

The previous prime is 1331243413. The next prime is 1331243467. The reversal of 1331243424 is 4243421331.

1331243424 is a `hidden beast` number, since 1 + 3 + 312 + 4 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013654 + ... + 2014314.

It is an arithmetic number, because the mean of its divisors is an integer number (16024372).

Almost surely, 2^1331243424 is an apocalyptic number.

1331243424 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 1331243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307509568).

1331243424 is an abundant number, since it is smaller than the sum of its proper divisors (3283775712).

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

1331243424 is an equidigital number, since it uses as much as digits as its factorization.

1331243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1331243424 is about 36486.2086821857. The cubic root of 1331243424 is about 1100.0670548655.

Adding to 1331243424 its reverse (4243421331), we get a palindrome (5574664755).

The spelling of 1331243424 in words is "one billion, three hundred thirty-one million, two hundred forty-three thousand, four hundred twenty-four".