40566689856 has 672 divisors, whose sum is σ = 150634598400. Its totient is φ = 10133544960.

The previous prime is 40566689833. The next prime is 40566689873. The reversal of 40566689856 is 65898666504.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 40566689793 and 40566689802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169734985 + ... + 169735223.

Almost surely, 2^40566689856 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 40566689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75317299200).

40566689856 is an abundant number, since it is smaller than the sum of its proper divisors (110067908544).

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

40566689856 is a wasteful number, since it uses less digits than its factorization.

40566689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 40566689856 in words is "forty billion, five hundred sixty-six million, six hundred eighty-nine thousand, eight hundred fifty-six".