4332142535120 has 80 divisors (see below), whose sum is σ = 10204233553920. Its totient is φ = 1710166348800.

The previous prime is 4332142535057. The next prime is 4332142535177. The reversal of 4332142535120 is 215352412334.

It is a tau number, because it is divible by the number of its divisors (80).

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, 14265665 + ... + 14566175.

It is an arithmetic number, because the mean of its divisors is an integer number (127552919424).

Almost surely, 2^{4332142535120} is an apocalyptic number.

4332142535120 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 4332142535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102116776960).

4332142535120 is an abundant number, since it is smaller than the sum of its proper divisors (5872091018800).

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

4332142535120 is a wasteful number, since it uses less digits than its factorization.

4332142535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302884 (or 302878 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 4332142535120 its reverse (215352412334), we get a palindrome (4547494947454).

The spelling of 4332142535120 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, five hundred thirty-five thousand, one hundred twenty".