40111000011104 has 96 divisors (see below), whose sum is σ = 87170176912896. Its totient is φ = 18016412037120.

The previous prime is 40111000011073. The next prime is 40111000011107.

40111000011104 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40111000011107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21183317 + ... + 22999019.

It is an arithmetic number, because the mean of its divisors is an integer number (908022676176).

Almost surely, 2^{40111000011104} is an apocalyptic number.

40111000011104 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 40111000011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43585088456448).

40111000011104 is an abundant number, since it is smaller than the sum of its proper divisors (47059176901792).

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

40111000011104 is a wasteful number, since it uses less digits than its factorization.

40111000011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816468 (or 1816460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 401110000 and 11104, that added together give a palindrome (401121104).

The spelling of 40111000011104 in words is "forty trillion, one hundred eleven billion, eleven thousand, one hundred four".