1333363328640 has 768 divisors, whose sum is σ = 5455399921920. Its totient is φ = 293725274112.

The previous prime is 1333363328593. The next prime is 1333363328663. The reversal of 1333363328640 is 468233633331.

1333363328640 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 633 + 2 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159622704 + ... + 159631056.

It is an arithmetic number, because the mean of its divisors is an integer number (7103385315).

Almost surely, 2^{1333363328640} is an apocalyptic number.

1333363328640 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 1333363328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727699960960).

1333363328640 is an abundant number, since it is smaller than the sum of its proper divisors (4122036593280).

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

1333363328640 is a wasteful number, since it uses less digits than its factorization.

1333363328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 1333363328640 in words is "one trillion, three hundred thirty-three billion, three hundred sixty-three million, three hundred twenty-eight thousand, six hundred forty".