42034611643024 has 80 divisors (see below), whose sum is σ = 109348779980160. Its totient is φ = 15117342842880.

The previous prime is 42034611643001. The next prime is 42034611643051.

42034611643024 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 1312253329 + ... + 1312285360.

It is an arithmetic number, because the mean of its divisors is an integer number (1366859749752).

Almost surely, 2^{42034611643024} is an apocalyptic number.

42034611643024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42034611643024 is an abundant number, since it is smaller than the sum of its proper divisors (67314168337136).

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

42034611643024 is a wasteful number, since it uses less digits than its factorization.

42034611643024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624538728 (or 2624538722 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 4203461 and 1643024, that added together give a palindrome (5846485).

The spelling of 42034611643024 in words is "forty-two trillion, thirty-four billion, six hundred eleven million, six hundred forty-three thousand, twenty-four".