1333736821872 has 240 divisors, whose sum is σ = 4595906398720. Its totient is φ = 351607454208.

The previous prime is 1333736821861. The next prime is 1333736821913. The reversal of 1333736821872 is 2781286373331.

1333736821872 is a `hidden beast` number, since 1 + 33 + 37 + 368 + 218 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33251013 + ... + 33291099.

Almost surely, 2^{1333736821872} is an apocalyptic number.

1333736821872 is a gapful number since it is divisible by the number (12) 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 1333736821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297953199360).

1333736821872 is an abundant number, since it is smaller than the sum of its proper divisors (3262169576848).

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

1333736821872 is a wasteful number, since it uses less digits than its factorization.

1333736821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42660 (or 42651 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 1333736821872 in words is "one trillion, three hundred thirty-three billion, seven hundred thirty-six million, eight hundred twenty-one thousand, eight hundred seventy-two".