355251113442040 has 128 divisors (see below), whose sum is σ = 874136507512320. Its totient is φ = 129352996454400.

The previous prime is 355251113442013. The next prime is 355251113442083. The reversal of 355251113442040 is 40244311152553.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 355251113441984 and 355251113442002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31860384 + ... + 41540176.

It is an arithmetic number, because the mean of its divisors is an integer number (6829191464940).

Almost surely, 2^{355251113442040} 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 355251113442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437068253756160).

355251113442040 is an abundant number, since it is smaller than the sum of its proper divisors (518885394070280).

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

355251113442040 is a wasteful number, since it uses less digits than its factorization.

355251113442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9681593 (or 9681589 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 355251113442040 its reverse (40244311152553), we get a palindrome (395495424594593).

The spelling of 355251113442040 in words is "three hundred fifty-five trillion, two hundred fifty-one billion, one hundred thirteen million, four hundred forty-two thousand, forty".