2413334333142 has 96 divisors (see below), whose sum is σ = 5559102057600. Its totient is φ = 754035220224.

The previous prime is 2413334333119. The next prime is 2413334333147.

2413334333142 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 334 + 3 + 3 + 314 + 2 = 666.

2413334333142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2413334333097 and 2413334333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413334333147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91197109 + ... + 91223567.

It is an arithmetic number, because the mean of its divisors is an integer number (57907313100).

Almost surely, 2^{2413334333142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413334333142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779551028800).

2413334333142 is an abundant number, since it is smaller than the sum of its proper divisors (3145767724458).

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

2413334333142 is a wasteful number, since it uses less digits than its factorization.

2413334333142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27690 (or 27687 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 2413334333142 in words is "two trillion, four hundred thirteen billion, three hundred thirty-four million, three hundred thirty-three thousand, one hundred forty-two".