42725449728 has 504 divisors, whose sum is σ = 139686962688. Its totient is φ = 13042778112.

The previous prime is 42725449651. The next prime is 42725449747. The reversal of 42725449728 is 82794452724.

42725449728 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 544 + 97 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336420801 + ... + 336420927.

It is an arithmetic number, because the mean of its divisors is an integer number (277156672).

Almost surely, 2^42725449728 is an apocalyptic number.

42725449728 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 42725449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69843481344).

42725449728 is an abundant number, since it is smaller than the sum of its proper divisors (96961512960).

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

42725449728 is an equidigital number, since it uses as much as digits as its factorization.

42725449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 145 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 42725449728 in words is "forty-two billion, seven hundred twenty-five million, four hundred forty-nine thousand, seven hundred twenty-eight".