42423333334200 has 576 divisors, whose sum is σ = 180088986692160. Its totient is φ = 8708940840960.

The previous prime is 42423333334199. The next prime is 42423333334219. The reversal of 42423333334200 is 243333332424.

42423333334200 is a `hidden beast` number, since 4 + 242 + 33 + 33 + 334 + 20 + 0 = 666.

It is a super-2 number, since 2×42423333334200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2560672 + ... + 9560528.

It is an arithmetic number, because the mean of its divisors is an integer number (312654490785).

Almost surely, 2^{42423333334200} is an apocalyptic number.

42423333334200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42423333334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90044493346080).

42423333334200 is an abundant number, since it is smaller than the sum of its proper divisors (137665653357960).

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

42423333334200 is a wasteful number, since it uses less digits than its factorization.

42423333334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999936 (or 6999924 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 42423333334200 its reverse (243333332424), we get a palindrome (42666666666624).

The spelling of 42423333334200 in words is "forty-two trillion, four hundred twenty-three billion, three hundred thirty-three million, three hundred thirty-four thousand, two hundred".