4506480209040 has 320 divisors, whose sum is σ = 15366093507072. Its totient is φ = 1087907430400.

The previous prime is 4506480209029. The next prime is 4506480209071. The reversal of 4506480209040 is 409020846054.

It is a junction number, because it is equal to n+sod(n) for n = 4506480208983 and 4506480209001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11687164 + ... + 12066596.

Almost surely, 2^{4506480209040} is an apocalyptic number.

4506480209040 is a gapful number since it is divisible by the number (40) 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 4506480209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683046753536).

4506480209040 is an abundant number, since it is smaller than the sum of its proper divisors (10859613298032).

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

4506480209040 is a wasteful number, since it uses less digits than its factorization.

4506480209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379578 (or 379572 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 4506480209040 in words is "four trillion, five hundred six billion, four hundred eighty million, two hundred nine thousand, forty".