1332825329472 has 336 divisors, whose sum is σ = 4436785184832. Its totient is φ = 349998243840.

The previous prime is 1332825329467. The next prime is 1332825329497. The reversal of 1332825329472 is 2749235282331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28473447 + ... + 28520217.

It is an arithmetic number, because the mean of its divisors is an integer number (13204717812).

Almost surely, 2^{1332825329472} is an apocalyptic number.

1332825329472 is a gapful number since it is divisible by the number (12) 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 1332825329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218392592416).

1332825329472 is an abundant number, since it is smaller than the sum of its proper divisors (3103959855360).

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

1332825329472 is a wasteful number, since it uses less digits than its factorization.

1332825329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47046 (or 47029 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 1332825329472 in words is "one trillion, three hundred thirty-two billion, eight hundred twenty-five million, three hundred twenty-nine thousand, four hundred seventy-two".