110420410040993 has 16 divisors (see below), whose sum is σ = 119542594940496. Its totient is φ = 101389380341760.

The previous prime is 110420410040971. The next prime is 110420410041041. The reversal of 110420410040993 is 399040014024011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17003681096704 + 93416728944289 = 4123552^2 + 9665233^2 .

It is a cyclic number.

It is not a de Polignac number, because 110420410040993 - 2⁶ = 110420410040929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110420410040953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27207398 + ... + 31001343.

It is an arithmetic number, because the mean of its divisors is an integer number (7471412183781).

Almost surely, 2^{110420410040993} is an apocalyptic number.

110420410040993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110420410040993 is a deficient number, since it is larger than the sum of its proper divisors (9122184899503).

110420410040993 is a wasteful number, since it uses less digits than its factorization.

110420410040993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58209524.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 110420410040993 in words is "one hundred ten trillion, four hundred twenty billion, four hundred ten million, forty thousand, nine hundred ninety-three".