42034311343024 has 80 divisors (see below), whose sum is σ = 109347998780160. Its totient is φ = 15117234842880.

The previous prime is 42034311343019. The next prime is 42034311343061.

42034311343024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42034311343024² (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 15 ways as a sum of consecutive naturals, for example, 1312243954 + ... + 1312275985.

It is an arithmetic number, because the mean of its divisors is an integer number (1366849984752).

Almost surely, 2^{42034311343024} is an apocalyptic number.

42034311343024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42034311343024 is an abundant number, since it is smaller than the sum of its proper divisors (67313687437136).

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

42034311343024 is a wasteful number, since it uses less digits than its factorization.

42034311343024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624519978 (or 2624519972 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4203431 and 1343024, that added together give a palindrome (5546455).

The spelling of 42034311343024 in words is "forty-two trillion, thirty-four billion, three hundred eleven million, three hundred forty-three thousand, twenty-four".