2405410142013 has 32 divisors (see below), whose sum is σ = 3568266345600. Its totient is φ = 1601494892928.

The previous prime is 2405410141993. The next prime is 2405410142017. The reversal of 2405410142013 is 3102410145042.

2405410142013 is a `hidden beast` number, since 2 + 40 + 5 + 410 + 1 + 4 + 201 + 3 = 666.

It is not a de Polignac number, because 2405410142013 - 2¹⁰ = 2405410140989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405410142017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79452643 + ... + 79482911.

It is an arithmetic number, because the mean of its divisors is an integer number (111508323300).

Almost surely, 2^{2405410142013} is an apocalyptic number.

It is an amenable number.

2405410142013 is a deficient number, since it is larger than the sum of its proper divisors (1162856203587).

2405410142013 is a wasteful number, since it uses less digits than its factorization.

2405410142013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34058 (or 34052 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2405410142013 its reverse (3102410145042), we get a palindrome (5507820287055).

The spelling of 2405410142013 in words is "two trillion, four hundred five billion, four hundred ten million, one hundred forty-two thousand, thirteen".