1332003229440 has 576 divisors, whose sum is σ = 4669416944640. Its totient is φ = 321631027200.

The previous prime is 1332003229439. The next prime is 1332003229463. The reversal of 1332003229440 is 449223002331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625646296 + ... + 625648424.

It is an arithmetic number, because the mean of its divisors is an integer number (8106626640).

Almost surely, 2^{1332003229440} is an apocalyptic number.

1332003229440 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 1332003229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334708472320).

1332003229440 is an abundant number, since it is smaller than the sum of its proper divisors (3337413715200).

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

1332003229440 is a wasteful number, since it uses less digits than its factorization.

1332003229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 1332003229440 in words is "one trillion, three hundred thirty-two billion, three million, two hundred twenty-nine thousand, four hundred forty".