1332241824 has 96 divisors (see below), whose sum is σ = 3628304064. Its totient is φ = 427714560.

The previous prime is 1332241789. The next prime is 1332241831. The reversal of 1332241824 is 4281422331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1332241824² = 3549736555229693952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1332241791 and 1332241800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299134 + ... + 303554.

It is an arithmetic number, because the mean of its divisors is an integer number (37794834).

Almost surely, 2^1332241824 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 1332241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814152032).

1332241824 is an abundant number, since it is smaller than the sum of its proper divisors (2296062240).

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

1332241824 is a wasteful number, since it uses less digits than its factorization.

1332241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4542 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1332241824 is about 36499.8879998282. The cubic root of 1332241824 is about 1100.3419939373.

The spelling of 1332241824 in words is "one billion, three hundred thirty-two million, two hundred forty-one thousand, eight hundred twenty-four".