40228800 has 252 divisors, whose sum is σ = 145039080. Its totient is φ = 9748480.

The previous prime is 40228789. The next prime is 40228807. The reversal of 40228800 is 882204.

40228800 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40228807) 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 35 ways as a sum of consecutive naturals, for example, 1387186 + ... + 1387214.

Almost surely, 2^40228800 is an apocalyptic number.

40228800 is a gapful number since it is divisible by the number (40) 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 40228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72519540).

40228800 is an abundant number, since it is smaller than the sum of its proper divisors (104810280).

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

40228800 is a wasteful number, since it uses less digits than its factorization.

40228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40228800 is about 6342.6177561004. The cubic root of 40228800 is about 342.6460208172.

The spelling of 40228800 in words is "forty million, two hundred twenty-eight thousand, eight hundred".