44432141214401 has 16 divisors (see below), whose sum is σ = 47162817784080. Its totient is φ = 41714475663360.

The previous prime is 44432141214371. The next prime is 44432141214403. The reversal of 44432141214401 is 10441214123444.

It can be written as a sum of positive squares in 8 ways, for example, as 22821171676801 + 21610969537600 = 4777151^2 + 4648760^2 .

It is not a de Polignac number, because 44432141214401 - 2¹⁴ = 44432141198017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44432141214403) 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, 181886621 + ... + 182130741.

It is an arithmetic number, because the mean of its divisors is an integer number (2947676111505).

Almost surely, 2^{44432141214401} is an apocalyptic number.

It is an amenable number.

44432141214401 is a deficient number, since it is larger than the sum of its proper divisors (2730676569679).

44432141214401 is a wasteful number, since it uses less digits than its factorization.

44432141214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270724.

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 44432141214401 its reverse (10441214123444), we get a palindrome (54873355337845).

The spelling of 44432141214401 in words is "forty-four trillion, four hundred thirty-two billion, one hundred forty-one million, two hundred fourteen thousand, four hundred one".