40114116 has 120 divisors (see below), whose sum is σ = 125220480. Its totient is φ = 10948608.

The previous prime is 40114103. The next prime is 40114117. The reversal of 40114116 is 61141104.

It is a super-2 number, since 2×40114116² = 3218284604922912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40114117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51780 + ... + 52548.

It is an arithmetic number, because the mean of its divisors is an integer number (1043504).

Almost surely, 2^40114116 is an apocalyptic number.

40114116 is a gapful number since it is divisible by the number (46) 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 40114116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62610240).

40114116 is an abundant number, since it is smaller than the sum of its proper divisors (85106364).

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

40114116 is a wasteful number, since it uses less digits than its factorization.

40114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 40114116 is about 6333.5705569607. The cubic root of 40114116 is about 342.3201065707.

The spelling of 40114116 in words is "forty million, one hundred fourteen thousand, one hundred sixteen".