42133300333124 has 192 divisors, whose sum is σ = 104240200458240. Its totient is φ = 14351015877120.

The previous prime is 42133300333063. The next prime is 42133300333177.

42133300333124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42133300333124² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259109654 + ... + 259272210.

It is an arithmetic number, because the mean of its divisors is an integer number (542917710720).

Almost surely, 2^{42133300333124} is an apocalyptic number.

42133300333124 is a gapful number since it is divisible by the number (44) 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 42133300333124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52120100229120).

42133300333124 is an abundant number, since it is smaller than the sum of its proper divisors (62106900125116).

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

42133300333124 is a wasteful number, since it uses less digits than its factorization.

42133300333124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166018 (or 166016 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 42133300 and 333124, that added together give a palindrome (42466424).

The spelling of 42133300333124 in words is "forty-two trillion, one hundred thirty-three billion, three hundred million, three hundred thirty-three thousand, one hundred twenty-four".