40442320041001 has 8 divisors (see below), whose sum is σ = 40652023034664. Its totient is φ = 40233083573760.

The previous prime is 40442320040977. The next prime is 40442320041031. The reversal of 40442320041001 is 10014002324404.

It can be written as a sum of positive squares in 4 ways, for example, as 2246760000 + 40440073281001 = 47400^2 + 6359251^2 .

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 40442320041001 - 2⁷ = 40442320040873 is a prime.

It is a super-2 number, since 2×40442320041001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40442320041031) 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, 116457780 + ... + 116804533.

It is an arithmetic number, because the mean of its divisors is an integer number (5081502879333).

Almost surely, 2^{40442320041001} is an apocalyptic number.

It is an amenable number.

40442320041001 is a deficient number, since it is larger than the sum of its proper divisors (209702993663).

40442320041001 is a wasteful number, since it uses less digits than its factorization.

40442320041001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233263211.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40442320041001 its reverse (10014002324404), we get a palindrome (50456322365405).

The spelling of 40442320041001 in words is "forty trillion, four hundred forty-two billion, three hundred twenty million, forty-one thousand, one".