3413152143744 has 128 divisors (see below), whose sum is σ = 10382123040000. Its totient is φ = 973231663104.

The previous prime is 3413152143679. The next prime is 3413152143749. The reversal of 3413152143744 is 4473412513143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3413152143696 and 3413152143705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413152143749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68994 + ... + 2613630.

It is an arithmetic number, because the mean of its divisors is an integer number (81110336250).

Almost surely, 2^{3413152143744} 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 3413152143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191061520000).

3413152143744 is an abundant number, since it is smaller than the sum of its proper divisors (6968970896256).

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

3413152143744 is a wasteful number, since it uses less digits than its factorization.

3413152143744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545160 (or 2545148 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

Adding to 3413152143744 its reverse (4473412513143), we get a palindrome (7886564656887).

The spelling of 3413152143744 in words is "three trillion, four hundred thirteen billion, one hundred fifty-two million, one hundred forty-three thousand, seven hundred forty-four".