352433223350400 has 384 divisors, whose sum is σ = 1166738090500800. Its totient is φ = 93504575324160.

The previous prime is 352433223350371. The next prime is 352433223350419. The reversal of 352433223350400 is 4053322334253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1892806107 + ... + 1892992293.

Almost surely, 2^{352433223350400} is an apocalyptic number.

352433223350400 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 352433223350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583369045250400).

352433223350400 is an abundant number, since it is smaller than the sum of its proper divisors (814304867150400).

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

352433223350400 is a wasteful number, since it uses less digits than its factorization.

352433223350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187216 (or 187199 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 39.

Adding to 352433223350400 its reverse (4053322334253), we get a palindrome (356486545684653).

The spelling of 352433223350400 in words is "three hundred fifty-two trillion, four hundred thirty-three billion, two hundred twenty-three million, three hundred fifty thousand, four hundred".