20409355284480 has 1248 divisors, whose sum is σ = 76697200419840. Its totient is φ = 5003075911680.

The previous prime is 20409355284473. The next prime is 20409355284529. The reversal of 20409355284480 is 8448255390402.

20409355284480 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 9 + 3 + 552 + 8 + 4 + 4 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44080680729 + ... + 44080681191.

It is an arithmetic number, because the mean of its divisors is an integer number (61456090080).

Almost surely, 2^{20409355284480} is an apocalyptic number.

20409355284480 is a gapful number since it is divisible by the number (20) 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 20409355284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38348600209920).

20409355284480 is an abundant number, since it is smaller than the sum of its proper divisors (56287845135360).

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

20409355284480 is a wasteful number, since it uses less digits than its factorization.

20409355284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 20409355284480 in words is "twenty trillion, four hundred nine billion, three hundred fifty-five million, two hundred eighty-four thousand, four hundred eighty".