1332442404000 has 288 divisors, whose sum is σ = 4734047157840. Its totient is φ = 354926592000.

The previous prime is 1332442403989. The next prime is 1332442404011. The reversal of 1332442404000 is 4042442331.

It is a happy number.

1332442404000 is a `hidden beast` number, since 13 + 3 + 2 + 4 + 4 + 240 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1332442403989) and next prime (1332442404011).

It can be written as a sum of positive squares in 8 ways, for example, as 82992391056 + 1249450012944 = 288084^2 + 1117788^2 .

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

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, 33424080 + ... + 33463920.

Almost surely, 2^{1332442404000} is an apocalyptic number.

1332442404000 is a gapful number since it is divisible by the number (10) 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 1332442404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367023578920).

1332442404000 is an abundant number, since it is smaller than the sum of its proper divisors (3401604753840).

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

1332442404000 is a wasteful number, since it uses less digits than its factorization.

1332442404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40801 (or 40780 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1332442404000 its reverse (4042442331), we get a palindrome (1336484846331).

The spelling of 1332442404000 in words is "one trillion, three hundred thirty-two billion, four hundred forty-two million, four hundred four thousand".