4344400442401 has 8 divisors (see below), whose sum is σ = 4491761754600. Its totient is φ = 4198615187328.

The previous prime is 4344400442399. The next prime is 4344400442471. The reversal of 4344400442401 is 1042440044434.

4344400442401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1056216620176 + 3288183822225 = 1027724^2 + 1813335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4344400442401 - 2¹ = 4344400442399 is a prime.

It is a super-3 number, since 3×4344400442401³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4344400442471) 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, 394008676 + ... + 394019701.

It is an arithmetic number, because the mean of its divisors is an integer number (561470219325).

Almost surely, 2^{4344400442401} is an apocalyptic number.

It is an amenable number.

4344400442401 is a deficient number, since it is larger than the sum of its proper divisors (147361312199).

4344400442401 is a wasteful number, since it uses less digits than its factorization.

4344400442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788028563.

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 4344400442401 its reverse (1042440044434), we get a palindrome (5386840486835).

The spelling of 4344400442401 in words is "four trillion, three hundred forty-four billion, four hundred million, four hundred forty-two thousand, four hundred one".