1333132416 has 576 divisors, whose sum is σ = 5169808800. Its totient is φ = 325140480.

The previous prime is 1333132403. The next prime is 1333132421. The reversal of 1333132416 is 6142313331.

1333132416 is a `hidden beast` number, since 1 + 3 + 331 + 324 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1333132416.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11797576 + ... + 11797688.

Almost surely, 2^1333132416 is an apocalyptic number.

1333132416 is a gapful number since it is divisible by the number (16) 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 1333132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584904400).

1333132416 is an abundant number, since it is smaller than the sum of its proper divisors (3836676384).

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

1333132416 is a wasteful number, since it uses less digits than its factorization.

1333132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1333132416 is about 36512.0858894695. The cubic root of 1333132416 is about 1100.5871289863.

Adding to 1333132416 its reverse (6142313331), we get a palindrome (7475445747).

The spelling of 1333132416 in words is "one billion, three hundred thirty-three million, one hundred thirty-two thousand, four hundred sixteen".