42223040324100 has 288 divisors, whose sum is σ = 136310421408000. Its totient is φ = 11212195737600.

The previous prime is 42223040324081. The next prime is 42223040324119. The reversal of 42223040324100 is 142304032224.

42223040324100 is a `hidden beast` number, since 4 + 2 + 2 + 230 + 4 + 0 + 324 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (42223040324081) and next prime (42223040324119).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 642035220 + ... + 642100980.

Almost surely, 2^{42223040324100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42223040324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68155210704000).

42223040324100 is an abundant number, since it is smaller than the sum of its proper divisors (94087381083900).

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

42223040324100 is a wasteful number, since it uses less digits than its factorization.

42223040324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66780 (or 66767 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42223040324100 its reverse (142304032224), we get a palindrome (42365344356324).

The spelling of 42223040324100 in words is "forty-two trillion, two hundred twenty-three billion, forty million, three hundred twenty-four thousand, one hundred".