42126314436 has 60 divisors (see below), whose sum is σ = 115922656080. Its totient is φ = 13303044720.

The previous prime is 42126314429. The next prime is 42126314437. The reversal of 42126314436 is 63441362124.

42126314436 is a `hidden beast` number, since 4 + 2 + 12 + 631 + 4 + 4 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42126314436.

It is not an unprimeable number, because it can be changed into a prime (42126314437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3415410 + ... + 3427721.

It is an arithmetic number, because the mean of its divisors is an integer number (1932044268).

Almost surely, 2^42126314436 is an apocalyptic number.

It is an amenable number.

42126314436 is an abundant number, since it is smaller than the sum of its proper divisors (73796341644).

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

42126314436 is a wasteful number, since it uses less digits than its factorization.

42126314436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843166 (or 6843155 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 42126314436 in words is "forty-two billion, one hundred twenty-six million, three hundred fourteen thousand, four hundred thirty-six".