42102753122304 has 576 divisors, whose sum is σ = 144202381989120. Its totient is φ = 12022407659520.

The previous prime is 42102753122293. The next prime is 42102753122327. The reversal of 42102753122304 is 40322135720124.

42102753122304 is a `hidden beast` number, since 4 + 2 + 10 + 27 + 5 + 312 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11018776714 + ... + 11018780534.

It is an arithmetic number, because the mean of its divisors is an integer number (250351357620).

Almost surely, 2^{42102753122304} 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 42102753122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72101190994560).

42102753122304 is an abundant number, since it is smaller than the sum of its proper divisors (102099628866816).

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

42102753122304 is an equidigital number, since it uses as much as digits as its factorization.

42102753122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 42102753122304 its reverse (40322135720124), we get a palindrome (82424888842428).

The spelling of 42102753122304 in words is "forty-two trillion, one hundred two billion, seven hundred fifty-three million, one hundred twenty-two thousand, three hundred four".