320145101043240 has 256 divisors, whose sum is σ = 1056352156876800. Its totient is φ = 76975823744000.

The previous prime is 320145101043203. The next prime is 320145101043263. The reversal of 320145101043240 is 42340101541023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320145101043198 and 320145101043207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88726390 + ... + 92264090.

It is an arithmetic number, because the mean of its divisors is an integer number (4126375612800).

Almost surely, 2^{320145101043240} is an apocalyptic number.

320145101043240 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 320145101043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528176078438400).

320145101043240 is an abundant number, since it is smaller than the sum of its proper divisors (736207055833560).

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

320145101043240 is a wasteful number, since it uses less digits than its factorization.

320145101043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538288 (or 3538284 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 320145101043240 its reverse (42340101541023), we get a palindrome (362485202584263).

The spelling of 320145101043240 in words is "three hundred twenty trillion, one hundred forty-five billion, one hundred one million, forty-three thousand, two hundred forty".