40225589712 has 320 divisors, whose sum is σ = 146109696000. Its totient is φ = 10291691520.

The previous prime is 40225589711. The next prime is 40225589741. The reversal of 40225589712 is 21798552204.

40225589712 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 558 + 97 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225589711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219664 + ... + 2237712.

It is an arithmetic number, because the mean of its divisors is an integer number (456592800).

Almost surely, 2^40225589712 is an apocalyptic number.

40225589712 is a gapful number since it is divisible by the number (42) 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 40225589712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73054848000).

40225589712 is an abundant number, since it is smaller than the sum of its proper divisors (105884106288).

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

40225589712 is a wasteful number, since it uses less digits than its factorization.

40225589712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 40225589712 in words is "forty billion, two hundred twenty-five million, five hundred eighty-nine thousand, seven hundred twelve".