3412431122144 has 96 divisors (see below), whose sum is σ = 7648414937856. Its totient is φ = 1483511941120.

The previous prime is 3412431122123. The next prime is 3412431122153. The reversal of 3412431122144 is 4412211342143.

3412431122144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3412431122144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116462504 + ... + 116491800.

It is an arithmetic number, because the mean of its divisors is an integer number (79670988936).

Almost surely, 2^{3412431122144} 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 3412431122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824207468928).

3412431122144 is an abundant number, since it is smaller than the sum of its proper divisors (4235983815712).

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

3412431122144 is a wasteful number, since it uses less digits than its factorization.

3412431122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43728 (or 43720 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 3412431122144 its reverse (4412211342143), we get a palindrome (7824642464287).

The spelling of 3412431122144 in words is "three trillion, four hundred twelve billion, four hundred thirty-one million, one hundred twenty-two thousand, one hundred forty-four".