42132130000 has 100 divisors (see below), whose sum is σ = 102136234068. Its totient is φ = 16831360000.

The previous prime is 42132129989. The next prime is 42132130009. The reversal of 42132130000 is 3123124.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 27098427456 + 15033702544 = 164616^2 + 122612^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9527790 + ... + 9532210.

Almost surely, 2^42132130000 is an apocalyptic number.

42132130000 is a gapful number since it is divisible by the number (40) 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 42132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068117034).

42132130000 is an abundant number, since it is smaller than the sum of its proper divisors (60004104068).

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

42132130000 is an equidigital number, since it uses as much as digits as its factorization.

42132130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42132130000 its reverse (3123124), we get a palindrome (42135253124).

The spelling of 42132130000 in words is "forty-two billion, one hundred thirty-two million, one hundred thirty thousand".