320409021240 has 384 divisors, whose sum is σ = 1309024005120. Its totient is φ = 66577800960.

The previous prime is 320409021239. The next prime is 320409021259. The reversal of 320409021240 is 42120904023.

320409021240 is a `hidden beast` number, since 3 + 2 + 0 + 409 + 0 + 212 + 40 = 666.

It is a super-2 number, since 2×320409021240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3306357 + ... + 3401883.

It is an arithmetic number, because the mean of its divisors is an integer number (3408916680).

Almost surely, 2^320409021240 is an apocalyptic number.

320409021240 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 320409021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654512002560).

320409021240 is an abundant number, since it is smaller than the sum of its proper divisors (988614983880).

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

320409021240 is a wasteful number, since it uses less digits than its factorization.

320409021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95584 (or 95555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 320409021240 its reverse (42120904023), we get a palindrome (362529925263).

The spelling of 320409021240 in words is "three hundred twenty billion, four hundred nine million, twenty-one thousand, two hundred forty".