20201440442112 has 288 divisors, whose sum is σ = 60100541096960. Its totient is φ = 6693202575360.

The previous prime is 20201440442093. The next prime is 20201440442149. The reversal of 20201440442112 is 21124404410202.

20201440442112 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 440 + 4 + 4 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811062363 + ... + 811087269.

Almost surely, 2^{20201440442112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201440442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30050270548480).

20201440442112 is an abundant number, since it is smaller than the sum of its proper divisors (39899100654848).

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

20201440442112 is a wasteful number, since it uses less digits than its factorization.

20201440442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25636 (or 25616 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 20201440442112 its reverse (21124404410202), we get a palindrome (41325844852314).

The spelling of 20201440442112 in words is "twenty trillion, two hundred one billion, four hundred forty million, four hundred forty-two thousand, one hundred twelve".