40806720 has 112 divisors (see below), whose sum is σ = 143987520. Its totient is φ = 10879488.

The previous prime is 40806719. The next prime is 40806791. The reversal of 40806720 is 2760804.

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

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 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 11001.

Almost surely, 2^40806720 is an apocalyptic number.

40806720 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 40806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71993760).

40806720 is an abundant number, since it is smaller than the sum of its proper divisors (103180800).

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

40806720 is a wasteful number, since it uses less digits than its factorization.

40806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40806720 is about 6388.0137758148. The cubic root of 40806720 is about 344.2790236635.

The spelling of 40806720 in words is "forty million, eight hundred six thousand, seven hundred twenty".