1333166428800 has 576 divisors, whose sum is σ = 5007056090400. Its totient is φ = 350191226880.

The previous prime is 1333166428799. The next prime is 1333166428817. The reversal of 1333166428800 is 88246613331.

1333166428800 is a `hidden beast` number, since 133 + 3 + 16 + 6 + 428 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 52086406 + ... + 52111994.

Almost surely, 2^{1333166428800} is an apocalyptic number.

1333166428800 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 1333166428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503528045200).

1333166428800 is an abundant number, since it is smaller than the sum of its proper divisors (3673889661600).

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

1333166428800 is an equidigital number, since it uses as much as digits as its factorization.

1333166428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25695 (or 25666 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1333166428800 in words is "one trillion, three hundred thirty-three billion, one hundred sixty-six million, four hundred twenty-eight thousand, eight hundred".