10804441114401 has 32 divisors (see below), whose sum is σ = 16046805075840. Its totient is φ = 6410659507200.

The previous prime is 10804441114381. The next prime is 10804441114457. The reversal of 10804441114401 is 10441114440801.

It is a de Polignac number, because none of the positive numbers 2^k-10804441114401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10804441114301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5893816 + ... + 7506393.

It is an arithmetic number, because the mean of its divisors is an integer number (501462658620).

Almost surely, 2^{10804441114401} is an apocalyptic number.

10804441114401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10804441114401 is a deficient number, since it is larger than the sum of its proper divisors (5242363961439).

10804441114401 is a wasteful number, since it uses less digits than its factorization.

10804441114401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400737.

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 10804441114401 in words is "ten trillion, eight hundred four billion, four hundred forty-one million, one hundred fourteen thousand, four hundred one".