42126646365 has 24 divisors (see below), whose sum is σ = 73024862040. Its totient is φ = 22465901184.

The previous prime is 42126646361. The next prime is 42126646489. The reversal of 42126646365 is 56364662124.

It is a happy number.

42126646365 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 6 + 6 + 4 + 636 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2620313721 + 39506332644 = 51189^2 + 198762^2 .

It is not a de Polignac number, because 42126646365 - 2² = 42126646361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42126646365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126646361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824299 + ... + 873911.

It is an arithmetic number, because the mean of its divisors is an integer number (3042702585).

Almost surely, 2^42126646365 is an apocalyptic number.

42126646365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42126646365 is a deficient number, since it is larger than the sum of its proper divisors (30898215675).

42126646365 is a wasteful number, since it uses less digits than its factorization.

42126646365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68493 (or 68490 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 42126646365 in words is "forty-two billion, one hundred twenty-six million, six hundred forty-six thousand, three hundred sixty-five".