40581632 has 120 divisors (see below), whose sum is σ = 101841696. Its totient is φ = 15814656.

The previous prime is 40581631. The next prime is 40581679. The reversal of 40581632 is 23618504.

It is a junction number, because it is equal to n+sod(n) for n = 40581595 and 40581604.

It is not an unprimeable number, because it can be changed into a prime (40581631) 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, 605663 + ... + 605729.

Almost surely, 2^40581632 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 40581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920848).

40581632 is an abundant number, since it is smaller than the sum of its proper divisors (61260064).

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

40581632 is an equidigital number, since it uses as much as digits as its factorization.

40581632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 40581632 is about 6370.3714177432. The cubic root of 40581632 is about 343.6448470878.

The spelling of 40581632 in words is "forty million, five hundred eighty-one thousand, six hundred thirty-two".