320011024140 has 144 divisors (see below), whose sum is σ = 978420643200. Its totient is φ = 84660248064.

The previous prime is 320011024121. The next prime is 320011024199. The reversal of 320011024140 is 41420110023.

It is a super-2 number, since 2×320011024140² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11558554 + ... + 11586206.

It is an arithmetic number, because the mean of its divisors is an integer number (6794587800).

Almost surely, 2^320011024140 is an apocalyptic number.

320011024140 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 320011024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489210321600).

320011024140 is an abundant number, since it is smaller than the sum of its proper divisors (658409619060).

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

320011024140 is a wasteful number, since it uses less digits than its factorization.

320011024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28176 (or 28171 counting only the distinct ones).

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

Adding to 320011024140 its reverse (41420110023), we get a palindrome (361431134163).

The spelling of 320011024140 in words is "three hundred twenty billion, eleven million, twenty-four thousand, one hundred forty".