356413055003280 has 480 divisors, whose sum is σ = 1354370054768640. Its totient is φ = 86387822231040.

The previous prime is 356413055003267. The next prime is 356413055003281. The reversal of 356413055003280 is 82300550314653.

356413055003280 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 1 + 30 + 5 + 500 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (356413055003281) 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, 1227938011 + ... + 1228228229.

It is an arithmetic number, because the mean of its divisors is an integer number (2821604280768).

Almost surely, 2^{356413055003280} is an apocalyptic number.

356413055003280 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 356413055003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677185027384320).

356413055003280 is an abundant number, since it is smaller than the sum of its proper divisors (997956999765360).

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

356413055003280 is a wasteful number, since it uses less digits than its factorization.

356413055003280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296001 (or 295983 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 356413055003280 in words is "three hundred fifty-six trillion, four hundred thirteen billion, fifty-five million, three thousand, two hundred eighty".