42594121728 has 384 divisors, whose sum is σ = 133314854400. Its totient is φ = 13410828288.

The previous prime is 42594121727. The next prime is 42594121733. The reversal of 42594121728 is 82712149524.

42594121728 is a `hidden beast` number, since 42 + 594 + 1 + 2 + 17 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (322560) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42594121721) 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, 136083300 + ... + 136083612.

It is an arithmetic number, because the mean of its divisors is an integer number (347174100).

Almost surely, 2^42594121728 is an apocalyptic number.

42594121728 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 42594121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66657427200).

42594121728 is an abundant number, since it is smaller than the sum of its proper divisors (90720732672).

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

42594121728 is a wasteful number, since it uses less digits than its factorization.

42594121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 448 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 42594121728 in words is "forty-two billion, five hundred ninety-four million, one hundred twenty-one thousand, seven hundred twenty-eight".