20010442333200 has 240 divisors, whose sum is σ = 70885313305536. Its totient is φ = 4784563814400.

The previous prime is 20010442333199. The next prime is 20010442333229. The reversal of 20010442333200 is 233324401002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9419569 + ... + 11346768.

Almost surely, 2^{20010442333200} is an apocalyptic number.

20010442333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010442333200 is an abundant number, since it is smaller than the sum of its proper divisors (50874870972336).

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

20010442333200 is a wasteful number, since it uses less digits than its factorization.

20010442333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20766442 (or 20766431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20010442333200 its reverse (233324401002), we get a palindrome (20243766734202).

The spelling of 20010442333200 in words is "twenty trillion, ten billion, four hundred forty-two million, three hundred thirty-three thousand, two hundred".