8442381034413 has 24 divisors (see below), whose sum is σ = 12230229375000. Its totient is φ = 5611788745344.

The previous prime is 8442381034363. The next prime is 8442381034463. The reversal of 8442381034413 is 3144301832448.

8442381034413 is a `hidden beast` number, since 84 + 4 + 23 + 8 + 103 + 441 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (8442381034363) and next prime (8442381034463).

It can be written as a sum of positive squares in 4 ways, for example, as 4546285368804 + 3896095665609 = 2132202^2 + 1973853^2 .

It is not a de Polignac number, because 8442381034413 - 2¹⁰ = 8442381033389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442381034463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58818931 + ... + 58962287.

It is an arithmetic number, because the mean of its divisors is an integer number (509592890625).

Almost surely, 2^{8442381034413} is an apocalyptic number.

It is an amenable number.

8442381034413 is a deficient number, since it is larger than the sum of its proper divisors (3787848340587).

8442381034413 is a wasteful number, since it uses less digits than its factorization.

8442381034413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162461 (or 162458 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 8442381034413 in words is "eight trillion, four hundred forty-two billion, three hundred eighty-one million, thirty-four thousand, four hundred thirteen".