320042142144 has 224 divisors, whose sum is σ = 974911334400. Its totient is φ = 102832450560.

The previous prime is 320042142143. The next prime is 320042142169. The reversal of 320042142144 is 441241240023.

320042142144 is a `hidden beast` number, since 3 + 20 + 0 + 421 + 4 + 214 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320042142143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32417529 + ... + 32427399.

Almost surely, 2^320042142144 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 320042142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487455667200).

320042142144 is an abundant number, since it is smaller than the sum of its proper divisors (654869192256).

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

320042142144 is a wasteful number, since it uses less digits than its factorization.

320042142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 320042142144 its reverse (441241240023), we get a palindrome (761283382167).

The spelling of 320042142144 in words is "three hundred twenty billion, forty-two million, one hundred forty-two thousand, one hundred forty-four".