40971584 has 56 divisors (see below), whose sum is σ = 85148928. Its totient is φ = 19537920.

The previous prime is 40971583. The next prime is 40971599. The reversal of 40971584 is 48517904.

It is a super-3 number, since 3×40971584³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40971583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212192 + ... + 212384.

Almost surely, 2^40971584 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 40971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42574464).

40971584 is an abundant number, since it is smaller than the sum of its proper divisors (44177344).

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

40971584 is a wasteful number, since it uses less digits than its factorization.

40971584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 40971584 is about 6400.9049360227. The cubic root of 40971584 is about 344.7420433987.

The spelling of 40971584 in words is "forty million, nine hundred seventy-one thousand, five hundred eighty-four".