40645646496 has 216 divisors, whose sum is σ = 143042608800. Its totient is φ = 10719641088.

The previous prime is 40645646491. The next prime is 40645646501. The reversal of 40645646496 is 69464654604.

40645646496 is a `hidden beast` number, since 4 + 0 + 64 + 56 + 46 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (40645646491) and next prime (40645646501).

It is not an unprimeable number, because it can be changed into a prime (40645646491) 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 35 ways as a sum of consecutive naturals, for example, 281055 + ... + 400353.

It is an arithmetic number, because the mean of its divisors is an integer number (662234300).

Almost surely, 2^40645646496 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 40645646496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71521304400).

40645646496 is an abundant number, since it is smaller than the sum of its proper divisors (102396962304).

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

40645646496 is a wasteful number, since it uses less digits than its factorization.

40645646496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119348 (or 119324 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 40645646496 in words is "forty billion, six hundred forty-five million, six hundred forty-six thousand, four hundred ninety-six".