20444133434000 has 80 divisors (see below), whose sum is σ = 49435001481216. Its totient is φ = 8177473584000.

The previous prime is 20444133433981. The next prime is 20444133434029. The reversal of 20444133434000 is 43433144402.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 126581297 + ... + 126742703.

Almost surely, 2^{20444133434000} is an apocalyptic number.

20444133434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444133434000 is an abundant number, since it is smaller than the sum of its proper divisors (28990868047216).

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

20444133434000 is a wasteful number, since it uses less digits than its factorization.

20444133434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224761 (or 224745 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 20444133434000 its reverse (43433144402), we get a palindrome (20487566578402).

The spelling of 20444133434000 in words is "twenty trillion, four hundred forty-four billion, one hundred thirty-three million, four hundred thirty-four thousand".