4532341144401 has 72 divisors (see below), whose sum is σ = 8070323625000. Its totient is φ = 2439611435520.

The previous prime is 4532341144399. The next prime is 4532341144403. The reversal of 4532341144401 is 1044411432354.

It is a happy number.

4532341144401 is a `hidden beast` number, since 4 + 5 + 3 + 234 + 1 + 14 + 4 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (4532341144399) and next prime (4532341144403).

It can be written as a sum of positive squares in 4 ways, for example, as 88672928400 + 4443668216001 = 297780^2 + 2108001^2 .

It is not a de Polignac number, because 4532341144401 - 2¹ = 4532341144399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4532341144403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3797526 + ... + 4846223.

It is an arithmetic number, because the mean of its divisors is an integer number (112087828125).

Almost surely, 2^{4532341144401} is an apocalyptic number.

4532341144401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4532341144401 is a deficient number, since it is larger than the sum of its proper divisors (3537982480599).

4532341144401 is a wasteful number, since it uses less digits than its factorization.

4532341144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8643839 (or 8643829 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4532341144401 its reverse (1044411432354), we get a palindrome (5576752576755).

The spelling of 4532341144401 in words is "four trillion, five hundred thirty-two billion, three hundred forty-one million, one hundred forty-four thousand, four hundred one".