355500415404040 has 384 divisors, whose sum is σ = 865565231731200. Its totient is φ = 131346590791680.

The previous prime is 355500415403923. The next prime is 355500415404047. The reversal of 355500415404040 is 40404514005553.

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 = 355500415403984 and 355500415404002.

It is not an unprimeable number, because it can be changed into a prime (355500415404047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61219286817 + ... + 61219292623.

It is an arithmetic number, because the mean of its divisors is an integer number (2254076124300).

Almost surely, 2^{355500415404040} 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 355500415404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432782615865600).

355500415404040 is an abundant number, since it is smaller than the sum of its proper divisors (510064816327160).

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

355500415404040 is a wasteful number, since it uses less digits than its factorization.

355500415404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 355500415404040 its reverse (40404514005553), we get a palindrome (395904929409593).

The spelling of 355500415404040 in words is "three hundred fifty-five trillion, five hundred billion, four hundred fifteen million, four hundred four thousand, forty".