40855680 has 192 divisors, whose sum is σ = 145356120. Its totient is φ = 10567680.

The previous prime is 40855669. The next prime is 40855697. The reversal of 40855680 is 8655804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31270464 + 9585216 = 5592^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 236074 + ... + 236246.

Almost surely, 2^40855680 is an apocalyptic number.

40855680 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 40855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72678060).

40855680 is an abundant number, since it is smaller than the sum of its proper divisors (104500440).

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

40855680 is a wasteful number, since it uses less digits than its factorization.

40855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 40855680 is about 6391.8448041235. The cubic root of 40855680 is about 344.4166575650.

The spelling of 40855680 in words is "forty million, eight hundred fifty-five thousand, six hundred eighty".