20330138419200 has 900 divisors, whose sum is σ = 76072815345912. Its totient is φ = 5366808576000.

The previous prime is 20330138419163. The next prime is 20330138419291. The reversal of 20330138419200 is 291483103302.

20330138419200 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 0 + 1 + 38 + 419 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3350934567 + ... + 3350940633.

Almost surely, 2^{20330138419200} is an apocalyptic number.

20330138419200 is a gapful number since it is divisible by the number (20) 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 20330138419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38036407672956).

20330138419200 is an abundant number, since it is smaller than the sum of its proper divisors (55742676926712).

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

20330138419200 is an equidigital number, since it uses as much as digits as its factorization.

20330138419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20330138419200 in words is "twenty trillion, three hundred thirty billion, one hundred thirty-eight million, four hundred nineteen thousand, two hundred".