40664194560 has 640 divisors, whose sum is σ = 159804057600. Its totient is φ = 9718824960.

The previous prime is 40664194457. The next prime is 40664194579. The reversal of 40664194560 is 6549146604.

It is a happy number.

40664194560 is a `hidden beast` number, since 40 + 6 + 6 + 41 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 60064942 + ... + 60065618.

It is an arithmetic number, because the mean of its divisors is an integer number (249693840).

Almost surely, 2^40664194560 is an apocalyptic number.

40664194560 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 40664194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902028800).

40664194560 is an abundant number, since it is smaller than the sum of its proper divisors (119139863040).

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

40664194560 is a wasteful number, since it uses less digits than its factorization.

40664194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40664194560 in words is "forty billion, six hundred sixty-four million, one hundred ninety-four thousand, five hundred sixty".