1331921433600 has 792 divisors, whose sum is σ = 4902070002648. Its totient is φ = 345400934400.

The previous prime is 1331921433587. The next prime is 1331921433607. The reversal of 1331921433600 is 63341291331.

It is a happy number.

1331921433600 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 9 + 2 + 1 + 43 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 421897015296 + 910024418304 = 649536^2 + 953952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331921433607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1363276312 + ... + 1363277288.

Almost surely, 2^{1331921433600} is an apocalyptic number.

1331921433600 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 1331921433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451035001324).

1331921433600 is an abundant number, since it is smaller than the sum of its proper divisors (3570148569048).

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

1331921433600 is a wasteful number, since it uses less digits than its factorization.

1331921433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 1331921433600 in words is "one trillion, three hundred thirty-one billion, nine hundred twenty-one million, four hundred thirty-three thousand, six hundred".