20409432582400 has 243 divisors, whose sum is σ = 50992390810011. Its totient is φ = 8087586877440.

The previous prime is 20409432582359. The next prime is 20409432582403. The reversal of 20409432582400 is 428523490402.

It is a happy number.

The square root of 20409432582400 is 4517680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6091260930304 + 14318171652096 = 2468048^2 + 3783936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20409432582403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53850745411 + ... + 53850745789.

Almost surely, 2^{20409432582400} is an apocalyptic number.

20409432582400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20409432582400 is the 4517680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20409432582400

20409432582400 is an abundant number, since it is smaller than the sum of its proper divisors (30582958227611).

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

20409432582400 is an frugal number, since it uses more digits than its factorization.

20409432582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 20409432582400 in words is "twenty trillion, four hundred nine billion, four hundred thirty-two million, five hundred eighty-two thousand, four hundred".