42132210432 has 144 divisors (see below), whose sum is σ = 121890424320. Its totient is φ = 12842274816.

The previous prime is 42132210431. The next prime is 42132210433. The reversal of 42132210432 is 23401223124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42132210431) and next prime (42132210433).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42132210431) 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, 1048569 + ... + 1088007.

It is an arithmetic number, because the mean of its divisors is an integer number (846461280).

Almost surely, 2^42132210432 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 42132210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60945212160).

42132210432 is an abundant number, since it is smaller than the sum of its proper divisors (79758213888).

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

42132210432 is a wasteful number, since it uses less digits than its factorization.

42132210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39578 (or 39564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42132210432 its reverse (23401223124), we get a palindrome (65533433556).

The spelling of 42132210432 in words is "forty-two billion, one hundred thirty-two million, two hundred ten thousand, four hundred thirty-two".