352240205200000 has 192 divisors, whose sum is σ = 944574122058840. Its totient is φ = 130057920000000.

The previous prime is 352240205199983. The next prime is 352240205200069. The reversal of 352240205200000 is 2502042253.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 315977359165504 + 36262846034496 = 17775752^2 + 6021864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28669251 + ... + 39069250.

Almost surely, 2^{352240205200000} is an apocalyptic number.

It is an amenable number.

352240205200000 is an abundant number, since it is smaller than the sum of its proper divisors (592333916858840).

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

352240205200000 is an frugal number, since it uses more digits than its factorization.

352240205200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67738553 (or 67738521 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 352240205200000 its reverse (2502042253), we get a palindrome (352242707242253).

The spelling of 352240205200000 in words is "three hundred fifty-two trillion, two hundred forty billion, two hundred five million, two hundred thousand".