40079904446401 has 8 divisors (see below), whose sum is σ = 40676574946280. Its totient is φ = 39484521263232.

The previous prime is 40079904446363. The next prime is 40079904446509. The reversal of 40079904446401 is 10464440997004.

It can be written as a sum of positive squares in 4 ways, for example, as 1820545724176 + 38259358722225 = 1349276^2 + 6185415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40079904446401 - 2¹¹ = 40079904444353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40079904546401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321766446 + ... + 321890983.

It is an arithmetic number, because the mean of its divisors is an integer number (5084571868285).

Almost surely, 2^{40079904446401} is an apocalyptic number.

It is an amenable number.

40079904446401 is a deficient number, since it is larger than the sum of its proper divisors (596670499879).

40079904446401 is an equidigital number, since it uses as much as digits as its factorization.

40079904446401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643658355.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 40079904446401 in words is "forty trillion, seventy-nine billion, nine hundred four million, four hundred forty-six thousand, four hundred one".