355433315504340 has 192 divisors, whose sum is σ = 1026882074050560. Its totient is φ = 91811741898240.

The previous prime is 355433315504303. The next prime is 355433315504401. The reversal of 355433315504340 is 43405513334553.

It is a self number, because there is not a number n which added to its sum of digits gives 355433315504340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7628774445 + ... + 7628821035.

It is an arithmetic number, because the mean of its divisors is an integer number (5348344135680).

Almost surely, 2^{355433315504340} is an apocalyptic number.

355433315504340 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 355433315504340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513441037025280).

355433315504340 is an abundant number, since it is smaller than the sum of its proper divisors (671448758546220).

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

355433315504340 is a wasteful number, since it uses less digits than its factorization.

355433315504340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77102 (or 77100 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 48.

Adding to 355433315504340 its reverse (43405513334553), we get a palindrome (398838828838893).

The spelling of 355433315504340 in words is "three hundred fifty-five trillion, four hundred thirty-three billion, three hundred fifteen million, five hundred four thousand, three hundred forty".