42129678528 has 560 divisors, whose sum is σ = 156067743744. Its totient is φ = 10958561280.

The previous prime is 42129678527. The next prime is 42129678583. The reversal of 42129678528 is 82587692124.

42129678528 is a `hidden beast` number, since 4 + 21 + 2 + 96 + 7 + 8 + 528 = 666.

42129678528 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 (54).

It is not an unprimeable number, because it can be changed into a prime (42129678523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19122675 + ... + 19124877.

Almost surely, 2^42129678528 is an apocalyptic number.

42129678528 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 42129678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78033871872).

42129678528 is an abundant number, since it is smaller than the sum of its proper divisors (113938065216).

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

42129678528 is a wasteful number, since it uses less digits than its factorization.

42129678528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2263 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 42129678528 in words is "forty-two billion, one hundred twenty-nine million, six hundred seventy-eight thousand, five hundred twenty-eight".