41193446401 has 8 divisors (see below), whose sum is σ = 42621745320. Its totient is φ = 39765669888.

The previous prime is 41193446387. The next prime is 41193446447. The reversal of 41193446401 is 10464439114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3324675600 + 37868770801 = 57660^2 + 194599^2 .

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 41193446401 - 2¹⁵ = 41193413633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41193446491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33345 + ... + 288961.

It is an arithmetic number, because the mean of its divisors is an integer number (5327718165).

Almost surely, 2^41193446401 is an apocalyptic number.

It is an amenable number.

41193446401 is a deficient number, since it is larger than the sum of its proper divisors (1428298919).

41193446401 is a wasteful number, since it uses less digits than its factorization.

41193446401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261203.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 41193446401 in words is "forty-one billion, one hundred ninety-three million, four hundred forty-six thousand, four hundred one".