4509407609280 has 1960 divisors, whose sum is σ = 19204084306512. Its totient is φ = 1007805431808.

The previous prime is 4509407609209. The next prime is 4509407609309. The reversal of 4509407609280 is 829067049054.

4509407609280 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 4 + 0 + 7 + 609 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 46488738192 + ... + 46488738288.

Almost surely, 2^{4509407609280} is an apocalyptic number.

4509407609280 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 4509407609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602042153256).

4509407609280 is an abundant number, since it is smaller than the sum of its proper divisors (14694676697232).

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

4509407609280 is an frugal number, since it uses more digits than its factorization.

4509407609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4509407609280 in words is "four trillion, five hundred nine billion, four hundred seven million, six hundred nine thousand, two hundred eighty".