42385322358324 has 192 divisors, whose sum is σ = 128717048678400. Its totient is φ = 11918244441600.

The previous prime is 42385322358311. The next prime is 42385322358343.

It is a happy number.

42385322358324 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 5 + 32 + 2 + 3 + 583 + 24 = 666.

42385322358324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13345654 + ... + 16213485.

It is an arithmetic number, because the mean of its divisors is an integer number (670401295200).

Almost surely, 2^{42385322358324} is an apocalyptic number.

42385322358324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42385322358324 is an abundant number, since it is smaller than the sum of its proper divisors (86331726320076).

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

42385322358324 is a wasteful number, since it uses less digits than its factorization.

42385322358324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29559251 (or 29559243 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 42385322358324 in words is "forty-two trillion, three hundred eighty-five billion, three hundred twenty-two million, three hundred fifty-eight thousand, three hundred twenty-four".