42035053024 has 48 divisors (see below), whose sum is σ = 84354359040. Its totient is φ = 20612067840.

The previous prime is 42035053019. The next prime is 42035053031.

42035053024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42035052983 and 42035053001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5747482 + ... + 5754790.

It is an arithmetic number, because the mean of its divisors is an integer number (1757382480).

Almost surely, 2^42035053024 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 42035053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42177179520).

42035053024 is an abundant number, since it is smaller than the sum of its proper divisors (42319306016).

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

42035053024 is a wasteful number, since it uses less digits than its factorization.

42035053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

It can be divided in two parts, 420350 and 53024, that added together give a palindrome (473374).

The spelling of 42035053024 in words is "forty-two billion, thirty-five million, fifty-three thousand, twenty-four".