320042142200 has 96 divisors (see below), whose sum is σ = 811944706320. Its totient is φ = 116350080000.

The previous prime is 320042142191. The next prime is 320042142209. The reversal of 320042142200 is 2241240023.

It is an interprime number because it is at equal distance from previous prime (320042142191) and next prime (320042142209).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320042142209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10150460 + ... + 10181940.

Almost surely, 2^320042142200 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 320042142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405972353160).

320042142200 is an abundant number, since it is smaller than the sum of its proper divisors (491902564120).

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

320042142200 is a wasteful number, since it uses less digits than its factorization.

320042142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36129 (or 36120 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 320042142200 its reverse (2241240023), we get a palindrome (322283382223).

The spelling of 320042142200 in words is "three hundred twenty billion, forty-two million, one hundred forty-two thousand, two hundred".