4032142130000 has 200 divisors, whose sum is σ = 10006898267520. Its totient is φ = 1572484480000.

The previous prime is 4032142129913. The next prime is 4032142130119. The reversal of 4032142130000 is 312412304.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1003267991 + ... + 1003272009.

Almost surely, 2^{4032142130000} is an apocalyptic number.

4032142130000 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 4032142130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003449133760).

4032142130000 is an abundant number, since it is smaller than the sum of its proper divisors (5974756137520).

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

4032142130000 is a wasteful number, since it uses less digits than its factorization.

4032142130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4032142130000 its reverse (312412304), we get a palindrome (4032454542304).

The spelling of 4032142130000 in words is "four trillion, thirty-two billion, one hundred forty-two million, one hundred thirty thousand".