40646880 has 144 divisors (see below), whose sum is σ = 143745840. Its totient is φ = 10727424.

The previous prime is 40646849. The next prime is 40646887. The reversal of 40646880 is 8864604.

40646880 is a `hidden beast` number, since 4 + 0 + 646 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40646887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 418992 + ... + 419088.

It is an arithmetic number, because the mean of its divisors is an integer number (998235).

Almost surely, 2^40646880 is an apocalyptic number.

40646880 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 40646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71872920).

40646880 is an abundant number, since it is smaller than the sum of its proper divisors (103098960).

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

40646880 is an equidigital number, since it uses as much as digits as its factorization.

40646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40646880 is about 6375.4905693601. The cubic root of 40646880 is about 343.8289216035.

The spelling of 40646880 in words is "forty million, six hundred forty-six thousand, eight hundred eighty".