1333997724720 has 320 divisors, whose sum is σ = 4301728421760. Its totient is φ = 341684158464.

The previous prime is 1333997724607. The next prime is 1333997724727. The reversal of 1333997724720 is 274277993331.

It is not an unprimeable number, because it can be changed into a prime (1333997724727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787948194 + ... + 787949886.

It is an arithmetic number, because the mean of its divisors is an integer number (13442901318).

Almost surely, 2^{1333997724720} is an apocalyptic number.

1333997724720 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 1333997724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150864210880).

1333997724720 is an abundant number, since it is smaller than the sum of its proper divisors (2967730697040).

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

1333997724720 is a wasteful number, since it uses less digits than its factorization.

1333997724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 57.

The spelling of 1333997724720 in words is "one trillion, three hundred thirty-three billion, nine hundred ninety-seven million, seven hundred twenty-four thousand, seven hundred twenty".