4415041310401 has 8 divisors (see below), whose sum is σ = 4458798124200. Its totient is φ = 4371285350400.

The previous prime is 4415041310399. The next prime is 4415041310429. The reversal of 4415041310401 is 1040131405144.

It can be written as a sum of positive squares in 4 ways, for example, as 3446295216400 + 968746094001 = 1856420^2 + 984249^2 .

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 4415041310401 - 2¹ = 4415041310399 is a prime.

It is a super-4 number, since 4×4415041310401⁴ (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4415041310401.

It is not an unprimeable number, because it can be changed into a prime (4415041314401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17109505 + ... + 17365633.

It is an arithmetic number, because the mean of its divisors is an integer number (557349765525).

Almost surely, 2^{4415041310401} is an apocalyptic number.

It is an amenable number.

4415041310401 is a deficient number, since it is larger than the sum of its proper divisors (43756813799).

4415041310401 is a wasteful number, since it uses less digits than its factorization.

4415041310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426899.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 4415041310401 its reverse (1040131405144), we get a palindrome (5455172715545).

The spelling of 4415041310401 in words is "four trillion, four hundred fifteen billion, forty-one million, three hundred ten thousand, four hundred one".