3431141180544 has 1024 divisors, whose sum is σ = 12152357683200. Its totient is φ = 831504875520.

The previous prime is 3431141180543. The next prime is 3431141180587. The reversal of 3431141180544 is 4450811411343.

It is not an unprimeable number, because it can be changed into a prime (3431141180543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5023632427 + ... + 5023633109.

It is an arithmetic number, because the mean of its divisors is an integer number (11867536800).

Almost surely, 2^{3431141180544} 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 3431141180544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076178841600).

3431141180544 is an abundant number, since it is smaller than the sum of its proper divisors (8721216502656).

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

3431141180544 is a wasteful number, since it uses less digits than its factorization.

3431141180544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 3431141180544 its reverse (4450811411343), we get a palindrome (7881952591887).

The spelling of 3431141180544 in words is "three trillion, four hundred thirty-one billion, one hundred forty-one million, one hundred eighty thousand, five hundred forty-four".