3411344431143 has 144 divisors (see below), whose sum is σ = 5902072682688. Its totient is φ = 1889319168000.

The previous prime is 3411344431133. The next prime is 3411344431163.

3411344431143 is a `hidden beast` number, since 3 + 41 + 1 + 3 + 44 + 431 + 143 = 666.

3411344431143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3411344431143 - 2²⁰ = 3411343382567 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3411344431098 and 3411344431107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411344431133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 344540493 + ... + 344550393.

It is an arithmetic number, because the mean of its divisors is an integer number (40986615852).

Almost surely, 2^{3411344431143} is an apocalyptic number.

3411344431143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3411344431143 is a deficient number, since it is larger than the sum of its proper divisors (2490728251545).

3411344431143 is a wasteful number, since it uses less digits than its factorization.

3411344431143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10472 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 3411344431143 in words is "three trillion, four hundred eleven billion, three hundred forty-four million, four hundred thirty-one thousand, one hundred forty-three".