142434120200320 has 384 divisors, whose sum is σ = 379553245349040. Its totient is φ = 50808176640000.

The previous prime is 142434120200311. The next prime is 142434120200329. The reversal of 142434120200320 is 23002021434241.

It is an interprime number because it is at equal distance from previous prime (142434120200311) and next prime (142434120200329).

It can be written as a sum of positive squares in 8 ways, for example, as 98598386027584 + 43835734172736 = 9929672^2 + 6620856^2 .

It is not an unprimeable number, because it can be changed into a prime (142434120200329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4805292700 + ... + 4805322340.

Almost surely, 2^{142434120200320} is an apocalyptic number.

142434120200320 is a gapful number since it is divisible by the number (10) 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 142434120200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189776622674520).

142434120200320 is an abundant number, since it is smaller than the sum of its proper divisors (237119125148720).

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

142434120200320 is a wasteful number, since it uses less digits than its factorization.

142434120200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30336 (or 30293 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 142434120200320 its reverse (23002021434241), we get a palindrome (165436141634561).

The spelling of 142434120200320 in words is "one hundred forty-two trillion, four hundred thirty-four billion, one hundred twenty million, two hundred thousand, three hundred twenty".