40066044066004 has 72 divisors (see below), whose sum is σ = 77841050700168. Its totient is φ = 18029484000000.

The previous prime is 40066044065987. The next prime is 40066044066017.

It is a happy number.

40066044066004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 18834315381904 + 21231728684100 = 4339852^2 + 4607790^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483959094 + ... + 484041874.

It is an arithmetic number, because the mean of its divisors is an integer number (1081125704169).

Almost surely, 2^{40066044066004} is an apocalyptic number.

40066044066004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40066044066004 is a deficient number, since it is larger than the sum of its proper divisors (37775006634164).

40066044066004 is a wasteful number, since it uses less digits than its factorization.

40066044066004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92809 (or 92796 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 40066044066004 in words is "forty trillion, sixty-six billion, forty-four million, sixty-six thousand, four", and thus it is an eban number.