40905360 has 60 divisors (see below), whose sum is σ = 137376252. Its totient is φ = 10907904.

The previous prime is 40905343. The next prime is 40905367. The reversal of 40905360 is 6350904.

It is a happy number.

40905360 is a `hidden beast` number, since 40 + 90 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 10036224 = 5556^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (40905367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27687 + ... + 29126.

Almost surely, 2^40905360 is an apocalyptic number.

40905360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40905360 is an abundant number, since it is smaller than the sum of its proper divisors (96470892).

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

40905360 is a wasteful number, since it uses less digits than its factorization.

40905360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56832 (or 56823 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40905360 is about 6395.7298254382. The cubic root of 40905360 is about 344.5562031459.

The spelling of 40905360 in words is "forty million, nine hundred five thousand, three hundred sixty".