2413413353142 has 288 divisors, whose sum is σ = 6245333902080. Its totient is φ = 696655080000.

The previous prime is 2413413353129. The next prime is 2413413353149. The reversal of 2413413353142 is 2413533143142.

2413413353142 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 1 + 335 + 314 + 2 = 666.

2413413353142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2413413353142² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2413413353097 and 2413413353106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413413353149) 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, 339483484 + ... + 339490592.

It is an arithmetic number, because the mean of its divisors is an integer number (21685187160).

Almost surely, 2^{2413413353142} is an apocalyptic number.

2413413353142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413413353142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122666951040).

2413413353142 is an abundant number, since it is smaller than the sum of its proper divisors (3831920548938).

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

2413413353142 is a wasteful number, since it uses less digits than its factorization.

2413413353142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7399 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 2413413353142 its reverse (2413533143142), we get a palindrome (4826946496284).

The spelling of 2413413353142 in words is "two trillion, four hundred thirteen billion, four hundred thirteen million, three hundred fifty-three thousand, one hundred forty-two".