10881289742401 has 8 divisors (see below), whose sum is σ = 12122391755880. Its totient is φ = 9697913404032.

The previous prime is 10881289742339. The next prime is 10881289742419. The reversal of 10881289742401 is 10424798218801.

It is a happy number.

It is a Cunningham number, because it is equal to 3298680²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 10881289742400 = 1^2 + 3298680^2 .

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 10881289742401 - 2³⁷ = 10743850788929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10881289742471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14431418380 + ... + 14431419133.

It is an arithmetic number, because the mean of its divisors is an integer number (1515298969485).

Almost surely, 2^{10881289742401} is an apocalyptic number.

It is an amenable number.

10881289742401 is a deficient number, since it is larger than the sum of its proper divisors (1241102013479).

10881289742401 is a wasteful number, since it uses less digits than its factorization.

10881289742401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28862837555.

The product of its (nonzero) digits is 2064384, while the sum is 55.

The spelling of 10881289742401 in words is "ten trillion, eight hundred eighty-one billion, two hundred eighty-nine million, seven hundred forty-two thousand, four hundred one".