20211140041110 has 288 divisors, whose sum is σ = 56324608610400. Its totient is φ = 5026657471488.

The previous prime is 20211140041093. The next prime is 20211140041133. The reversal of 20211140041110 is 1114004111202.

20211140041110 is a `hidden beast` number, since 2 + 0 + 2 + 111 + 400 + 41 + 110 = 666.

It is a super-2 number, since 2×20211140041110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1321068241 + ... + 1321083539.

It is an arithmetic number, because the mean of its divisors is an integer number (195571557675).

Almost surely, 2^{20211140041110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211140041110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28162304305200).

20211140041110 is an abundant number, since it is smaller than the sum of its proper divisors (36113468569290).

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

20211140041110 is a wasteful number, since it uses less digits than its factorization.

20211140041110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15980 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20211140041110 its reverse (1114004111202), we get a palindrome (21325144152312).

The spelling of 20211140041110 in words is "twenty trillion, two hundred eleven billion, one hundred forty million, forty-one thousand, one hundred ten".