4213410143124 has 192 divisors, whose sum is σ = 12267208912896. Its totient is φ = 1095924473856.

The previous prime is 4213410143113. The next prime is 4213410143179.

It is a happy number.

4213410143124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4213410143091 and 4213410143100.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 52256689 + ... + 52337255.

It is an arithmetic number, because the mean of its divisors is an integer number (63891713088).

Almost surely, 2^{4213410143124} 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 4213410143124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133604456448).

4213410143124 is an abundant number, since it is smaller than the sum of its proper divisors (8053798769772).

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

4213410143124 is a wasteful number, since it uses less digits than its factorization.

4213410143124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81254 (or 81252 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4213410 and 143124, that added together give a palindrome (4356534).

The spelling of 4213410143124 in words is "four trillion, two hundred thirteen billion, four hundred ten million, one hundred forty-three thousand, one hundred twenty-four".