40111104 has 88 divisors (see below), whose sum is σ = 116728128. Its totient is φ = 12144640.

The previous prime is 40111087. The next prime is 40111129.

40111104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 40111104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33199 + ... + 34385.

It is an arithmetic number, because the mean of its divisors is an integer number (1326456).

Almost surely, 2^40111104 is an apocalyptic number.

40111104 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 40111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58364064).

40111104 is an abundant number, since it is smaller than the sum of its proper divisors (76617024).

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

40111104 is a wasteful number, since it uses less digits than its factorization.

40111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 40111104 is about 6333.3327719298. The cubic root of 40111104 is about 342.3115385646.

It can be divided in two parts, 4011 and 1104, that added together give a palindrome (5115).

The spelling of 40111104 in words is "forty million, one hundred eleven thousand, one hundred four".