42525241696 has 96 divisors (see below), whose sum is σ = 100164653568. Its totient is φ = 17376353280.

The previous prime is 42525241669. The next prime is 42525241699. The reversal of 42525241696 is 69614252524.

42525241696 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 (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42525241699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599391 + ... + 1625761.

It is an arithmetic number, because the mean of its divisors is an integer number (1043381808).

Almost surely, 2^42525241696 is an apocalyptic number.

42525241696 is a gapful number since it is divisible by the number (46) 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 42525241696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50082326784).

42525241696 is an abundant number, since it is smaller than the sum of its proper divisors (57639411872).

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

42525241696 is a wasteful number, since it uses less digits than its factorization.

42525241696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26724 (or 26716 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

The spelling of 42525241696 in words is "forty-two billion, five hundred twenty-five million, two hundred forty-one thousand, six hundred ninety-six".