40971564 has 36 divisors (see below), whose sum is σ = 109660824. Its totient is φ = 12853632.

The previous prime is 40971529. The next prime is 40971569. The reversal of 40971564 is 46517904.

40971564 is a `hidden beast` number, since 4 + 0 + 97 + 1 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×40971564³ (a number of 24 digits) contains 333 as substring.

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 (40971569) 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, 32862 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (3046134).

Almost surely, 2^40971564 is an apocalyptic number.

It is an amenable number.

40971564 is an abundant number, since it is smaller than the sum of its proper divisors (68689260).

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

40971564 is a wasteful number, since it uses less digits than its factorization.

40971564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66974 (or 66969 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40971564 is about 6400.9033737434. The cubic root of 40971564 is about 344.7419873042.

The spelling of 40971564 in words is "forty million, nine hundred seventy-one thousand, five hundred sixty-four".