40666910566464 has 2688 divisors, whose sum is σ = 168295978368000. Its totient is φ = 9491129303040.

The previous prime is 40666910566459. The next prime is 40666910566507. The reversal of 40666910566464 is 46466501966604.

It is a super-2 number, since 2×40666910566464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26253653562 + ... + 26253655110.

It is an arithmetic number, because the mean of its divisors is an integer number (62610111000).

Almost surely, 2^{40666910566464} 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 40666910566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84147989184000).

40666910566464 is an abundant number, since it is smaller than the sum of its proper divisors (127629067801536).

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

40666910566464 is a wasteful number, since it uses less digits than its factorization.

40666910566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 40666910566464 in words is "forty trillion, six hundred sixty-six billion, nine hundred ten million, five hundred sixty-six thousand, four hundred sixty-four".