40359564 has 72 divisors (see below), whose sum is σ = 123465888. Its totient is φ = 10851840.

The previous prime is 40359559. The next prime is 40359569. The reversal of 40359564 is 46595304.

It is a happy number.

40359564 is a `hidden beast` number, since 4 + 0 + 3 + 595 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (40359559) and next prime (40359569).

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 not an unprimeable number, because it can be changed into a prime (40359569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427 + ... + 8994.

It is an arithmetic number, because the mean of its divisors is an integer number (1714804).

Almost surely, 2^40359564 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 40359564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61732944).

40359564 is an abundant number, since it is smaller than the sum of its proper divisors (83106324).

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

40359564 is a wasteful number, since it uses less digits than its factorization.

40359564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9450 counting only the distinct ones).

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

The square root of 40359564 is about 6352.9177548588. The cubic root of 40359564 is about 343.0168770577.

The spelling of 40359564 in words is "forty million, three hundred fifty-nine thousand, five hundred sixty-four".