344414402541 has 60 divisors (see below), whose sum is σ = 565922768796. Its totient is φ = 208587329280.

The previous prime is 344414402539. The next prime is 344414402551. The reversal of 344414402541 is 145204414443.

344414402541 is a `hidden beast` number, since 34 + 4 + 41 + 4 + 40 + 2 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213840580041 + 130573822500 = 462429^2 + 361350^2 .

It is not a de Polignac number, because 344414402541 - 2¹ = 344414402539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344414402496 and 344414402505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344414402531) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14621125 + ... + 14644661.

Almost surely, 2^344414402541 is an apocalyptic number.

It is an amenable number.

344414402541 is a deficient number, since it is larger than the sum of its proper divisors (221508366255).

344414402541 is a wasteful number, since it uses less digits than its factorization.

344414402541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25064 (or 25044 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 344414402541 its reverse (145204414443), we get a palindrome (489618816984).

The spelling of 344414402541 in words is "three hundred forty-four billion, four hundred fourteen million, four hundred two thousand, five hundred forty-one".