40110422401104 has 960 divisors, whose sum is σ = 126607896576000. Its totient is φ = 10889553945600.

The previous prime is 40110422401097. The next prime is 40110422401183.

40110422401104 is nontrivially palindromic in base 10.

40110422401104 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 (24).

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 191 ways as a sum of consecutive naturals, for example, 31858952827 + ... + 31858954085.

It is an arithmetic number, because the mean of its divisors is an integer number (131883225600).

Almost surely, 2^{40110422401104} is an apocalyptic number.

40110422401104 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 40110422401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303948288000).

40110422401104 is an abundant number, since it is smaller than the sum of its proper divisors (86497474174896).

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

40110422401104 is a wasteful number, since it uses less digits than its factorization.

40110422401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4011042 and 2401104, that added together give a palindrome (6412146).

The spelling of 40110422401104 in words is "forty trillion, one hundred ten billion, four hundred twenty-two million, four hundred one thousand, one hundred four".