320142041100 has 216 divisors, whose sum is σ = 1161338447360. Its totient is φ = 72248941440.

The previous prime is 320142041081. The next prime is 320142041101. The reversal of 320142041100 is 1140241023.

320142041100 is a `hidden beast` number, since 3 + 201 + 420 + 41 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (320142041101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176079 + ... + 819321.

Almost surely, 2^320142041100 is an apocalyptic number.

320142041100 is a gapful number since it is divisible by the number (30) 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 320142041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580669223680).

320142041100 is an abundant number, since it is smaller than the sum of its proper divisors (841196406260).

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

320142041100 is a wasteful number, since it uses less digits than its factorization.

320142041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643349 (or 643339 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 320142041100 its reverse (1140241023), we get a palindrome (321282282123).

The spelling of 320142041100 in words is "three hundred twenty billion, one hundred forty-two million, forty-one thousand, one hundred".