42102420024033 has 16 divisors (see below), whose sum is σ = 62409659127360. Its totient is φ = 28052213424768.

The previous prime is 42102420024031. The next prime is 42102420024037. The reversal of 42102420024033 is 33042002420124.

42102420024033 is a `hidden beast` number, since 4 + 2 + 10 + 242 + 0 + 0 + 2 + 403 + 3 = 666.

42102420024033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42102420024033 - 2¹ = 42102420024031 is a prime.

It is a super-2 number, since 2×42102420024033² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42102420023988 and 42102420024006.

It is not an unprimeable number, because it can be changed into a prime (42102420024031) 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 15 ways as a sum of consecutive naturals, for example, 446246160 + ... + 446340497.

It is an arithmetic number, because the mean of its divisors is an integer number (3900603695460).

Almost surely, 2^{42102420024033} is an apocalyptic number.

It is an amenable number.

42102420024033 is a deficient number, since it is larger than the sum of its proper divisors (20307239103327).

42102420024033 is a wasteful number, since it uses less digits than its factorization.

42102420024033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892588413 (or 892588407 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42102420024033 its reverse (33042002420124), we get a palindrome (75144422444157).

The spelling of 42102420024033 in words is "forty-two trillion, one hundred two billion, four hundred twenty million, twenty-four thousand, thirty-three".