40065360 has 80 divisors (see below), whose sum is σ = 125200320. Its totient is φ = 10598400.

The previous prime is 40065359. The next prime is 40065367. The reversal of 40065360 is 6356004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40065360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40065367) 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 15 ways as a sum of consecutive naturals, for example, 32760 + ... + 33960.

It is an arithmetic number, because the mean of its divisors is an integer number (1565004).

Almost surely, 2^40065360 is an apocalyptic number.

40065360 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 40065360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62600160).

40065360 is an abundant number, since it is smaller than the sum of its proper divisors (85134960).

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

40065360 is a wasteful number, since it uses less digits than its factorization.

40065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 40065360 is about 6329.7203729707. The cubic root of 40065360 is about 342.1813613502.

The spelling of 40065360 in words is "forty million, sixty-five thousand, three hundred sixty".