42128328480 has 192 divisors, whose sum is σ = 152572170240. Its totient is φ = 9571544064.

The previous prime is 42128328479. The next prime is 42128328481. The reversal of 42128328480 is 8482382124.

It is an interprime number because it is at equal distance from previous prime (42128328479) and next prime (42128328481).

It is a super-2 number, since 2×42128328480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42128328481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523581 + ... + 598659.

It is an arithmetic number, because the mean of its divisors is an integer number (794646720).

Almost surely, 2^42128328480 is an apocalyptic number.

42128328480 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 42128328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76286085120).

42128328480 is an abundant number, since it is smaller than the sum of its proper divisors (110443841760).

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

42128328480 is a wasteful number, since it uses less digits than its factorization.

42128328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75271 (or 75263 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 42128328480 in words is "forty-two billion, one hundred twenty-eight million, three hundred twenty-eight thousand, four hundred eighty".