42054350520 has 256 divisors, whose sum is σ = 155849379840. Its totient is φ = 8840337408.

The previous prime is 42054350509. The next prime is 42054350573. The reversal of 42054350520 is 2505345024.

42054350520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3017889 + ... + 3031791.

It is an arithmetic number, because the mean of its divisors is an integer number (608786640).

Almost surely, 2^42054350520 is an apocalyptic number.

42054350520 is a gapful number since it is divisible by the number (40) 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 42054350520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77924689920).

42054350520 is an abundant number, since it is smaller than the sum of its proper divisors (113795029320).

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

42054350520 is a wasteful number, since it uses less digits than its factorization.

42054350520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14214 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 42054350520 its reverse (2505345024), we get a palindrome (44559695544).

The spelling of 42054350520 in words is "forty-two billion, fifty-four million, three hundred fifty thousand, five hundred twenty".