20442111140 has 192 divisors, whose sum is σ = 49746493440. Its totient is φ = 6987840000.

The previous prime is 20442111133. The next prime is 20442111149. The reversal of 20442111140 is 4111124402.

It is a super-3 number, since 3×20442111140³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20442111149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40640129 + ... + 40640631.

It is an arithmetic number, because the mean of its divisors is an integer number (259096320).

Almost surely, 2^20442111140 is an apocalyptic number.

20442111140 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 20442111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873246720).

20442111140 is an abundant number, since it is smaller than the sum of its proper divisors (29304382300).

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

20442111140 is a wasteful number, since it uses less digits than its factorization.

20442111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20442111140 its reverse (4111124402), we get a palindrome (24553235542).

The spelling of 20442111140 in words is "twenty billion, four hundred forty-two million, one hundred eleven thousand, one hundred forty".