42324040324200 has 96 divisors (see below), whose sum is σ = 132503579897760. Its totient is φ = 11174664096000.

The previous prime is 42324040324193. The next prime is 42324040324207. The reversal of 42324040324200 is 242304042324.

42324040324200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42324040324193) and next prime (42324040324207).

It is a super-2 number, since 2×42324040324200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42324040324207) 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 23 ways as a sum of consecutive naturals, for example, 349147654 + ... + 349268853.

It is an arithmetic number, because the mean of its divisors is an integer number (1380245623935).

Almost surely, 2^{42324040324200} is an apocalyptic number.

42324040324200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42324040324200 is an abundant number, since it is smaller than the sum of its proper divisors (90179539573560).

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

42324040324200 is a wasteful number, since it uses less digits than its factorization.

42324040324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698416627 (or 698416618 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42324040324200 its reverse (242304042324), we get a palindrome (42566344366524).

The spelling of 42324040324200 in words is "forty-two trillion, three hundred twenty-four billion, forty million, three hundred twenty-four thousand, two hundred".