42413039753337 has 18 divisors (see below), whose sum is σ = 67338976800186. Its totient is φ = 25704872577120.

The previous prime is 42413039753281. The next prime is 42413039753393. The reversal of 42413039753337 is 73335793031424.

42413039753337 is a `hidden beast` number, since 4 + 2 + 4 + 13 + 0 + 3 + 97 + 533 + 3 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (42413039753281) and next prime (42413039753393).

It can be written as a sum of positive squares in only one way, i.e., 32763592154601 + 9649447598736 = 5723949^2 + 3106356^2 .

It is not a de Polignac number, because 42413039753337 - 2¹⁰ = 42413039752313 is a prime.

It is a super-2 number, since 2×42413039753337² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42413039753237) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19473387228 + ... + 19473389405.

It is an arithmetic number, because the mean of its divisors is an integer number (3741054266677).

Almost surely, 2^{42413039753337} is an apocalyptic number.

It is an amenable number.

42413039753337 is a deficient number, since it is larger than the sum of its proper divisors (24925937046849).

42413039753337 is a wasteful number, since it uses less digits than its factorization.

42413039753337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38946776661 (or 38946776647 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 54.

The spelling of 42413039753337 in words is "forty-two trillion, four hundred thirteen billion, thirty-nine million, seven hundred fifty-three thousand, three hundred thirty-seven".