42053035024 has 240 divisors, whose sum is σ = 114040200960. Its totient is φ = 14600678400.

The previous prime is 42053035019. The next prime is 42053035043.

42053035024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42053034983 and 42053035001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5104989 + ... + 5113219.

It is an arithmetic number, because the mean of its divisors is an integer number (475167504).

Almost surely, 2^42053035024 is an apocalyptic number.

42053035024 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 42053035024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57020100480).

42053035024 is an abundant number, since it is smaller than the sum of its proper divisors (71987165936).

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

42053035024 is a wasteful number, since it uses less digits than its factorization.

42053035024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8293 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, 420530 and 35024, that added together give a palindrome (455554).

The spelling of 42053035024 in words is "forty-two billion, fifty-three million, thirty-five thousand, twenty-four".