40845312 has 90 divisors (see below), whose sum is σ = 118419938. Its totient is φ = 13565952.

The previous prime is 40845293. The next prime is 40845331. The reversal of 40845312 is 21354804.

It is an interprime number because it is at equal distance from previous prime (40845293) and next prime (40845331).

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 11943936 = 5376^2 + 3456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147318 + ... + 147594.

Almost surely, 2^40845312 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 40845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59209969).

40845312 is an abundant number, since it is smaller than the sum of its proper divisors (77574626).

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

40845312 is an equidigital number, since it uses as much as digits as its factorization.

40845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40845312 is about 6391.0337192038. The cubic root of 40845312 is about 344.3875207431.

The spelling of 40845312 in words is "forty million, eight hundred forty-five thousand, three hundred twelve".