3441155135440 has 240 divisors, whose sum is σ = 9320693593680. Its totient is φ = 1176551833600.

The previous prime is 3441155135393. The next prime is 3441155135447. The reversal of 3441155135440 is 445315511443.

It can be written as a sum of positive squares in 8 ways, for example, as 90629898304 + 3350525237136 = 301048^2 + 1830444^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3441155135393 and 3441155135402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441155135447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174588306 + ... + 174608014.

It is an arithmetic number, because the mean of its divisors is an integer number (38836223307).

Almost surely, 2^{3441155135440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441155135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660346796840).

3441155135440 is an abundant number, since it is smaller than the sum of its proper divisors (5879538458240).

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

3441155135440 is a wasteful number, since it uses less digits than its factorization.

3441155135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20822 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 3441155135440 in words is "three trillion, four hundred forty-one billion, one hundred fifty-five million, one hundred thirty-five thousand, four hundred forty".