42155718528 has 768 divisors, whose sum is σ = 150445854720. Its totient is φ = 10218700800.

The previous prime is 42155718523. The next prime is 42155718557. The reversal of 42155718528 is 82581755124.

It is a super-2 number, since 2×42155718528² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42155718523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373059400 + ... + 373059512.

It is an arithmetic number, because the mean of its divisors is an integer number (195893040).

Almost surely, 2^42155718528 is an apocalyptic number.

42155718528 is a gapful number since it is divisible by the number (48) 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 42155718528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75222927360).

42155718528 is an abundant number, since it is smaller than the sum of its proper divisors (108290136192).

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

42155718528 is a wasteful number, since it uses less digits than its factorization.

42155718528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 896000, while the sum is 48.

The spelling of 42155718528 in words is "forty-two billion, one hundred fifty-five million, seven hundred eighteen thousand, five hundred twenty-eight".