42126318 has 80 divisors (see below), whose sum is σ = 103306896. Its totient is φ = 12752640.

The previous prime is 42126269. The next prime is 42126319. The reversal of 42126318 is 81362124.

42126318 is a `hidden beast` number, since 4 + 21 + 2 + 631 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

42126318 is a modest number, since divided by 6318 gives 4212 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 42126291 and 42126300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174678 + ... + 174918.

Almost surely, 2^42126318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42126318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51653448).

42126318 is an abundant number, since it is smaller than the sum of its proper divisors (61180578).

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

42126318 is a wasteful number, since it uses less digits than its factorization.

42126318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42126318 is about 6490.4790270056. The cubic root of 42126318 is about 347.9507956592.

The spelling of 42126318 in words is "forty-two million, one hundred twenty-six thousand, three hundred eighteen".