40395564 has 96 divisors (see below), whose sum is σ = 117465600. Its totient is φ = 11897280.

The previous prime is 40395559. The next prime is 40395581. The reversal of 40395564 is 46559304.

It is a happy number.

40395564 is a `hidden beast` number, since 4 + 0 + 3 + 95 + 564 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 43497 + ... + 44415.

It is an arithmetic number, because the mean of its divisors is an integer number (1223600).

Almost surely, 2^40395564 is an apocalyptic number.

40395564 is a gapful number since it is divisible by the number (44) 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 40395564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58732800).

40395564 is an abundant number, since it is smaller than the sum of its proper divisors (77070036).

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

40395564 is a wasteful number, since it uses less digits than its factorization.

40395564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 40395564 is about 6355.7504670967. The cubic root of 40395564 is about 343.1188350291.

The spelling of 40395564 in words is "forty million, three hundred ninety-five thousand, five hundred sixty-four".