40428444 has 48 divisors (see below), whose sum is σ = 108367616. Its totient is φ = 11491200.

The previous prime is 40428439. The next prime is 40428461. The reversal of 40428444 is 44482404.

40428444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40428444² = 3268918168522272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16584 + ... + 18864.

Almost surely, 2^40428444 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 40428444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54183808).

40428444 is an abundant number, since it is smaller than the sum of its proper divisors (67939172).

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

40428444 is a wasteful number, since it uses less digits than its factorization.

40428444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 40428444 is about 6358.3365749227. The cubic root of 40428444 is about 343.2119037280.

The spelling of 40428444 in words is "forty million, four hundred twenty-eight thousand, four hundred forty-four".