33073420800000 has 1248 divisors, whose sum is σ = 129085993467648. Its totient is φ = 7372800000000.

The previous prime is 33073420799953. The next prime is 33073420800011. The reversal of 33073420800000 is 802437033.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11020798500 + ... + 11020801500.

Almost surely, 2^{33073420800000} is an apocalyptic number.

33073420800000 is a gapful number since it is divisible by the number (30) 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 33073420800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64542996733824).

33073420800000 is an abundant number, since it is smaller than the sum of its proper divisors (96012572667648).

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

33073420800000 is an frugal number, since it uses more digits than its factorization.

33073420800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 33073420800000 in words is "thirty-three trillion, seventy-three billion, four hundred twenty million, eight hundred thousand".