42124323040300 has 288 divisors, whose sum is σ = 102768692382720. Its totient is φ = 14913372672000.

The previous prime is 42124323040279. The next prime is 42124323040337. The reversal of 42124323040300 is 304032342124.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328516200 + ... + 328644400.

It is an arithmetic number, because the mean of its divisors is an integer number (356835737440).

Almost surely, 2^{42124323040300} 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 42124323040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51384346191360).

42124323040300 is an abundant number, since it is smaller than the sum of its proper divisors (60644369342420).

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

42124323040300 is a wasteful number, since it uses less digits than its factorization.

42124323040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128433 (or 128426 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42124323040300 its reverse (304032342124), we get a palindrome (42428355382424).

The spelling of 42124323040300 in words is "forty-two trillion, one hundred twenty-four billion, three hundred twenty-three million, forty thousand, three hundred".