40225984 has 56 divisors (see below), whose sum is σ = 83685888. Its totient is φ = 19165440.

The previous prime is 40225967. The next prime is 40226047. The reversal of 40225984 is 48952204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129189 + ... + 129499.

Almost surely, 2^40225984 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 40225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41842944).

40225984 is an abundant number, since it is smaller than the sum of its proper divisors (43459904).

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

40225984 is a wasteful number, since it uses less digits than its factorization.

40225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 40225984 is about 6342.3957618553. The cubic root of 40225984 is about 342.6380256022.

It can be divided in two parts, 40225 and 984, that added together give a square (41209 = 203²).

The spelling of 40225984 in words is "forty million, two hundred twenty-five thousand, nine hundred eighty-four".