355206312400 has 120 divisors (see below), whose sum is σ = 857750529024. Its totient is φ = 141356966400.

The previous prime is 355206312367. The next prime is 355206312403. The reversal of 355206312400 is 4213602553.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355206312403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93547302 + ... + 93551098.

Almost surely, 2^355206312400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355206312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428875264512).

355206312400 is an abundant number, since it is smaller than the sum of its proper divisors (502544216624).

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

355206312400 is a wasteful number, since it uses less digits than its factorization.

355206312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 355206312400 its reverse (4213602553), we get a palindrome (359419914953).

The spelling of 355206312400 in words is "three hundred fifty-five billion, two hundred six million, three hundred twelve thousand, four hundred".