42132403424 has 96 divisors (see below), whose sum is σ = 90136942560. Its totient is φ = 19311132672.

The previous prime is 42132403381. The next prime is 42132403433. The reversal of 42132403424 is 42430423124.

42132403424 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4002392 + ... + 4012904.

It is an arithmetic number, because the mean of its divisors is an integer number (938926485).

Almost surely, 2^42132403424 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 42132403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45068471280).

42132403424 is an abundant number, since it is smaller than the sum of its proper divisors (48004539136).

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

42132403424 is a wasteful number, since it uses less digits than its factorization.

42132403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42132403424 its reverse (42430423124), we get a palindrome (84562826548).

The spelling of 42132403424 in words is "forty-two billion, one hundred thirty-two million, four hundred three thousand, four hundred twenty-four".