40112211221104 has 80 divisors (see below), whose sum is σ = 85988750010624. Its totient is φ = 17973513958400.

The previous prime is 40112211221081. The next prime is 40112211221171.

40112211221104 is nontrivially palindromic in base 10.

40112211221104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90787992 + ... + 91228744.

Almost surely, 2^{40112211221104} is an apocalyptic number.

40112211221104 is a gapful number since it is divisible by the number (44) 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 40112211221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42994375005312).

40112211221104 is an abundant number, since it is smaller than the sum of its proper divisors (45876538789520).

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

40112211221104 is a wasteful number, since it uses less digits than its factorization.

40112211221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448126 (or 448120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Multiplying 40112211221104 by its sum of digits (22), we get a palindrome (882468646864288).

It can be divided in two parts, 4011221 and 1221104, that added together give a palindrome (5232325).

The spelling of 40112211221104 in words is "forty trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred four".