40585920 has 112 divisors (see below), whose sum is σ = 130990848. Its totient is φ = 10644480.

The previous prime is 40585907. The next prime is 40585927. The reversal of 40585920 is 2958504.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40585927) 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, 64005 + ... + 64635.

Almost surely, 2^40585920 is an apocalyptic number.

40585920 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 40585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65495424).

40585920 is an abundant number, since it is smaller than the sum of its proper divisors (90404928).

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

40585920 is a wasteful number, since it uses less digits than its factorization.

40585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 40585920 is about 6370.7079669374. The cubic root of 40585920 is about 343.6569502416.

The spelling of 40585920 in words is "forty million, five hundred eighty-five thousand, nine hundred twenty".