355040222335200 has 432 divisors, whose sum is σ = 1261250429087376. Its totient is φ = 93975030374400.

The previous prime is 355040222335109. The next prime is 355040222335207. The reversal of 355040222335200 is 2533222040553.

355040222335200 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 402 + 223 + 3 + 5 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355040222335207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11107834419 + ... + 11107866381.

It is an arithmetic number, because the mean of its divisors is an integer number (2919561178443).

Almost surely, 2^{355040222335200} is an apocalyptic number.

355040222335200 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 355040222335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630625214543688).

355040222335200 is an abundant number, since it is smaller than the sum of its proper divisors (906210206752176).

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

355040222335200 is a wasteful number, since it uses less digits than its factorization.

355040222335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43387 (or 43371 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 355040222335200 its reverse (2533222040553), we get a palindrome (357573444375753).

The spelling of 355040222335200 in words is "three hundred fifty-five trillion, forty billion, two hundred twenty-two million, three hundred thirty-five thousand, two hundred".