40111120 has 80 divisors (see below), whose sum is σ = 109243008. Its totient is φ = 13409280.

The previous prime is 40111087. The next prime is 40111129. The reversal of 40111120 is 2111104.

40111120 = T₁₉₄₄ + T₁₉₄₅ + ... + T₁₉₆₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 40111097 and 40111106.

It is not an unprimeable number, because it can be changed into a prime (40111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22087 + ... + 23833.

Almost surely, 2^40111120 is an apocalyptic number.

40111120 is a gapful number since it is divisible by the number (40) 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 40111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621504).

40111120 is an abundant number, since it is smaller than the sum of its proper divisors (69131888).

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

40111120 is a wasteful number, since it uses less digits than its factorization.

40111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 40111120 is about 6333.3340350877. The cubic root of 40111120 is about 342.3115840797.

Adding to 40111120 its reverse (2111104), we get a palindrome (42222224).

The spelling of 40111120 in words is "forty million, one hundred eleven thousand, one hundred twenty".