355200441115040 has 96 divisors (see below), whose sum is σ = 852342525486144. Its totient is φ = 139851661086720.

The previous prime is 355200441115033. The next prime is 355200441115061. The reversal of 355200441115040 is 40511144002553.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130375 + ... + 26677305.

It is an arithmetic number, because the mean of its divisors is an integer number (8878567973814).

Almost surely, 2^{355200441115040} 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 355200441115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426171262743072).

355200441115040 is an abundant number, since it is smaller than the sum of its proper divisors (497142084371104).

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

355200441115040 is a wasteful number, since it uses less digits than its factorization.

355200441115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25548310 (or 25548302 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 355200441115040 its reverse (40511144002553), we get a palindrome (395711585117593).

The spelling of 355200441115040 in words is "three hundred fifty-five trillion, two hundred billion, four hundred forty-one million, one hundred fifteen thousand, forty".