352320204240 has 120 divisors (see below), whose sum is σ = 1224009057960. Its totient is φ = 90712323072.

The previous prime is 352320204193. The next prime is 352320204241. The reversal of 352320204240 is 42402023253.

It is a happy number.

352320204240 is a `hidden beast` number, since 3 + 5 + 232 + 0 + 2 + 0 + 424 + 0 = 666.

352320204240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51814506384 + 300505697856 = 227628^2 + 548184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352320204241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8415907 + ... + 8457666.

It is an arithmetic number, because the mean of its divisors is an integer number (10200075483).

Almost surely, 2^352320204240 is an apocalyptic number.

352320204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352320204240 is an abundant number, since it is smaller than the sum of its proper divisors (871688853720).

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

352320204240 is a wasteful number, since it uses less digits than its factorization.

352320204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16873621 (or 16873612 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 352320204240 its reverse (42402023253), we get a palindrome (394722227493).

The spelling of 352320204240 in words is "three hundred fifty-two billion, three hundred twenty million, two hundred four thousand, two hundred forty".