42034111143024 has 320 divisors, whose sum is σ = 146093657407488. Its totient is φ = 10057577241600.

The previous prime is 42034111143001. The next prime is 42034111143029.

It is a happy number.

42034111143024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42034111142982 and 42034111143000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034111143029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22700697 + ... + 24482439.

Almost surely, 2^{42034111143024} is an apocalyptic number.

42034111143024 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 42034111143024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73046828703744).

42034111143024 is an abundant number, since it is smaller than the sum of its proper divisors (104059546264464).

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

42034111143024 is a wasteful number, since it uses less digits than its factorization.

42034111143024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782276 (or 1782270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4203411 and 1143024, that added together give a palindrome (5346435).

The spelling of 42034111143024 in words is "forty-two trillion, thirty-four billion, one hundred eleven million, one hundred forty-three thousand, twenty-four".