3441344413140 has 36 divisors (see below), whose sum is σ = 10438744720404. Its totient is φ = 917691843456.

The previous prime is 3441344413127. The next prime is 3441344413181. The reversal of 3441344413140 is 413144431443.

3441344413140 is a `hidden beast` number, since 3 + 4 + 41 + 3 + 444 + 131 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1239931244484 + 2201413168656 = 1113522^2 + 1483716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3441344413095 and 3441344413104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9559289857 + ... + 9559290216.

Almost surely, 2^{3441344413140} is an apocalyptic number.

3441344413140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441344413140 is an abundant number, since it is smaller than the sum of its proper divisors (6997400307264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3441344413140 is a wasteful number, since it uses less digits than its factorization.

3441344413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19118580088 (or 19118580083 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3441344413140 its reverse (413144431443), we get a palindrome (3854488844583).

The spelling of 3441344413140 in words is "three trillion, four hundred forty-one billion, three hundred forty-four million, four hundred thirteen thousand, one hundred forty".