410331010441441 has 16 divisors (see below), whose sum is σ = 424207376928720. Its totient is φ = 396639055687680.

The previous prime is 410331010441423. The next prime is 410331010441483. The reversal of 410331010441441 is 144144010133014.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17249037014416 + 393081973427025 = 4153196^2 + 19826295^2 .

It is a cyclic number.

It is not a de Polignac number, because 410331010441441 - 2¹⁷ = 410331010310369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (410331010447441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159306961 + ... + 161862193.

It is an arithmetic number, because the mean of its divisors is an integer number (26512961058045).

Almost surely, 2^{410331010441441} is an apocalyptic number.

410331010441441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

410331010441441 is a deficient number, since it is larger than the sum of its proper divisors (13876366487279).

410331010441441 is a wasteful number, since it uses less digits than its factorization.

410331010441441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591316.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 410331010441441 its reverse (144144010133014), we get a palindrome (554475020574455).

The spelling of 410331010441441 in words is "four hundred ten trillion, three hundred thirty-one billion, ten million, four hundred forty-one thousand, four hundred forty-one".