40557312 has 108 divisors (see below), whose sum is σ = 121168320. Its totient is φ = 13031424.

The previous prime is 40557289. The next prime is 40557313. The reversal of 40557312 is 21375504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40557313) 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 11 ways as a sum of consecutive naturals, for example, 66513 + ... + 67119.

Almost surely, 2^40557312 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 40557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60584160).

40557312 is an abundant number, since it is smaller than the sum of its proper divisors (80611008).

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

40557312 is a wasteful number, since it uses less digits than its factorization.

40557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40557312 is about 6368.4622947773. The cubic root of 40557312 is about 343.5761861992.

The spelling of 40557312 in words is "forty million, five hundred fifty-seven thousand, three hundred twelve".