40606379856000 has 384 divisors, whose sum is σ = 166660188888960. Its totient is φ = 9281458022400.

The previous prime is 40606379855953. The next prime is 40606379856001. The reversal of 40606379856000 is 65897360604.

40606379856000 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 6 + 3 + 79 + 8 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (40606379856001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19134054 + ... + 21150053.

It is an arithmetic number, because the mean of its divisors is an integer number (434010908565).

Almost surely, 2^{40606379856000} is an apocalyptic number.

40606379856000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40606379856000 is an abundant number, since it is smaller than the sum of its proper divisors (126053809032960).

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

40606379856000 is a wasteful number, since it uses less digits than its factorization.

40606379856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40284149 (or 40284124 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 40606379856000 in words is "forty trillion, six hundred six billion, three hundred seventy-nine million, eight hundred fifty-six thousand".