1333279872000 has 1408 divisors, whose sum is σ = 5214563827200. Its totient is φ = 335462400000.

The previous prime is 1333279871981. The next prime is 1333279872097. The reversal of 1333279872000 is 2789723331.

1333279872000 is a `hidden beast` number, since 1 + 33 + 327 + 98 + 7 + 200 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 5311871875 + ... + 5311872125.

Almost surely, 2^{1333279872000} is an apocalyptic number.

1333279872000 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 1333279872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607281913600).

1333279872000 is an abundant number, since it is smaller than the sum of its proper divisors (3881283955200).

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

1333279872000 is a wasteful number, since it uses less digits than its factorization.

1333279872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1333279872000 in words is "one trillion, three hundred thirty-three billion, two hundred seventy-nine million, eight hundred seventy-two thousand".