42100428832 has 96 divisors (see below), whose sum is σ = 103401446400. Its totient is φ = 16392602880.

The previous prime is 42100428823. The next prime is 42100428833. The reversal of 42100428832 is 23882400124.

It is a super-2 number, since 2×42100428832² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42100428833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4891669 + ... + 4900267.

It is an arithmetic number, because the mean of its divisors is an integer number (1077098400).

Almost surely, 2^42100428832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51700723200).

42100428832 is an abundant number, since it is smaller than the sum of its proper divisors (61301017568).

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

42100428832 is a wasteful number, since it uses less digits than its factorization.

42100428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 42100428832 its reverse (23882400124), we get a palindrome (65982828956).

The spelling of 42100428832 in words is "forty-two billion, one hundred million, four hundred twenty-eight thousand, eight hundred thirty-two".