40664445646560 has 192 divisors, whose sum is σ = 128344142449152. Its totient is φ = 10822598322176.

The previous prime is 40664445646553. The next prime is 40664445646579. The reversal of 40664445646560 is 6564654446604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 40664445646494 and 40664445646503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739630499 + ... + 2739645341.

It is an arithmetic number, because the mean of its divisors is an integer number (668459075256).

Almost surely, 2^{40664445646560} is an apocalyptic number.

40664445646560 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 40664445646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64172071224576).

40664445646560 is an abundant number, since it is smaller than the sum of its proper divisors (87679696802592).

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

40664445646560 is a wasteful number, since it uses less digits than its factorization.

40664445646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25665 (or 25657 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 60.

The spelling of 40664445646560 in words is "forty trillion, six hundred sixty-four billion, four hundred forty-five million, six hundred forty-six thousand, five hundred sixty".