40418928 has 240 divisors, whose sum is σ = 139276800. Its totient is φ = 10782720.

The previous prime is 40418923. The next prime is 40418941. The reversal of 40418928 is 82981404.

40418928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40418892 and 40418901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40418923) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 511593 + ... + 511671.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^40418928 is an apocalyptic number.

40418928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40418928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

40418928 is an abundant number, since it is smaller than the sum of its proper divisors (98857872).

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

40418928 is a wasteful number, since it uses less digits than its factorization.

40418928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 40418928 is about 6357.5882219596. The cubic root of 40418928 is about 343.1849733424.

The spelling of 40418928 in words is "forty million, four hundred eighteen thousand, nine hundred twenty-eight".