40366066304 has 48 divisors (see below), whose sum is σ = 82330904970. Its totient is φ = 19713544704.

The previous prime is 40366066289. The next prime is 40366066337.

40366066304 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 40221104704 + 144961600 = 200552^2 + 12040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151394 + ... + 321950.

Almost surely, 2^40366066304 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 40366066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41165452485).

40366066304 is an abundant number, since it is smaller than the sum of its proper divisors (41964838666).

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

40366066304 is an equidigital number, since it uses as much as digits as its factorization.

40366066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170657 (or 170602 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 403660 and 66304, that added together give a palindrome (469964).

The spelling of 40366066304 in words is "forty billion, three hundred sixty-six million, sixty-six thousand, three hundred four".