1333941384960 has 864 divisors, whose sum is σ = 5024786457600. Its totient is φ = 338180603904.

The previous prime is 1333941384953. The next prime is 1333941384989. The reversal of 1333941384960 is 694831493331.

1333941384960 is a `hidden beast` number, since 1 + 3 + 33 + 94 + 1 + 38 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1333941384897 and 1333941384906.

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 95 ways as a sum of consecutive naturals, for example, 1423629612 + ... + 1423630548.

Almost surely, 2^{1333941384960} is an apocalyptic number.

1333941384960 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 1333941384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512393228800).

1333941384960 is an abundant number, since it is smaller than the sum of its proper divisors (3690845072640).

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

1333941384960 is an equidigital number, since it uses as much as digits as its factorization.

1333941384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 1333941384960 in words is "one trillion, three hundred thirty-three billion, nine hundred forty-one million, three hundred eighty-four thousand, nine hundred sixty".