40056128 has 84 divisors (see below), whose sum is σ = 94599252. Its totient is φ = 16773120.

The previous prime is 40056073. The next prime is 40056167. The reversal of 40056128 is 82165004.

It can be written as a sum of positive squares in 2 ways, for example, as 29506624 + 10549504 = 5432^2 + 3248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40056097 and 40056106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166088 + ... + 166328.

Almost surely, 2^40056128 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 40056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47299626).

40056128 is an abundant number, since it is smaller than the sum of its proper divisors (54543124).

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

40056128 is a wasteful number, since it uses less digits than its factorization.

40056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 40056128 is about 6328.9910728330. The cubic root of 40056128 is about 342.1550771237.

The spelling of 40056128 in words is "forty million, fifty-six thousand, one hundred twenty-eight".