40084416 has 56 divisors (see below), whose sum is σ = 117845840. Its totient is φ = 13360896.

The previous prime is 40084391. The next prime is 40084439. The reversal of 40084416 is 61448004.

It is a super-2 number, since 2×40084416² = 3213520812122112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40084416.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9871 + ... + 13326.

It is an arithmetic number, because the mean of its divisors is an integer number (2104390).

Almost surely, 2^40084416 is an apocalyptic number.

It is an amenable number.

40084416 is an abundant number, since it is smaller than the sum of its proper divisors (77761424).

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

40084416 is a wasteful number, since it uses less digits than its factorization.

40084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23218 (or 23202 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40084416 is about 6331.2254737926. The cubic root of 40084416 is about 342.2356025078.

The spelling of 40084416 in words is "forty million, eighty-four thousand, four hundred sixteen".