42201498528 has 576 divisors, whose sum is σ = 148264058880. Its totient is φ = 11637997056.

The previous prime is 42201498527. The next prime is 42201498539. The reversal of 42201498528 is 82589410224.

42201498528 is a `hidden beast` number, since 4 + 2 + 20 + 14 + 98 + 528 = 666.

42201498528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201498527) 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, 252703501 + ... + 252703667.

It is an arithmetic number, because the mean of its divisors is an integer number (257402880).

Almost surely, 2^42201498528 is an apocalyptic number.

42201498528 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 42201498528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74132029440).

42201498528 is an abundant number, since it is smaller than the sum of its proper divisors (106062560352).

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

42201498528 is a wasteful number, since it uses less digits than its factorization.

42201498528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42201498528 in words is "forty-two billion, two hundred one million, four hundred ninety-eight thousand, five hundred twenty-eight".