40086816 has 288 divisors, whose sum is σ = 144789120. Its totient is φ = 9461760.

The previous prime is 40086803. The next prime is 40086853. The reversal of 40086816 is 61868004.

It is a hoax number, since the sum of its digits (33) 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 (33).

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 47 ways as a sum of consecutive naturals, for example, 1382290 + ... + 1382318.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^40086816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

40086816 is an abundant number, since it is smaller than the sum of its proper divisors (104702304).

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

40086816 is a wasteful number, since it uses less digits than its factorization.

40086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 40086816 is about 6331.4150077214. The cubic root of 40086816 is about 342.2424326689.

The spelling of 40086816 in words is "forty million, eighty-six thousand, eight hundred sixteen".