409480345153152 has 3072 divisors, whose sum is σ = 1634314442342400. Its totient is φ = 98432811270144.

The previous prime is 409480345153133. The next prime is 409480345153193. The reversal of 409480345153152 is 251351543084904.

409480345153152 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 8 + 0 + 3 + 4 + 51 + 531 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 336467004448 + ... + 336467005664.

It is an arithmetic number, because the mean of its divisors is an integer number (532003399200).

Almost surely, 2^{409480345153152} is an apocalyptic number.

409480345153152 is a gapful number since it is divisible by the number (42) 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 409480345153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817157221171200).

409480345153152 is an abundant number, since it is smaller than the sum of its proper divisors (1224834097189248).

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

409480345153152 is a wasteful number, since it uses less digits than its factorization.

409480345153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 409480345153152 in words is "four hundred nine trillion, four hundred eighty billion, three hundred forty-five million, one hundred fifty-three thousand, one hundred fifty-two".