20340821606400 has 1485 divisors, whose sum is σ = 78364232528491. Its totient is φ = 5237177057280.

The previous prime is 20340821606393. The next prime is 20340821606401. The reversal of 20340821606400 is 460612804302.

The square root of 20340821606400 is 4510080.

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

20340821606400 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 0 + 8 + 2 + 1 + 6 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 279595597824 + 20061226008576 = 528768^2 + 4478976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20340821606401) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 701407641586 + ... + 701407641614.

Almost surely, 2^{20340821606400} is an apocalyptic number.

20340821606400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20340821606400 is the 4510080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340821606400

20340821606400 is an abundant number, since it is smaller than the sum of its proper divisors (58023410922091).

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

20340821606400 is an frugal number, since it uses more digits than its factorization.

20340821606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 20340821606400 by its sum of digits (36), we get a square (732269577830400 = 27060480²).

20340821606400 divided by its sum of digits (36) gives a square (565022822400 = 751680²).

The spelling of 20340821606400 in words is "twenty trillion, three hundred forty billion, eight hundred twenty-one million, six hundred six thousand, four hundred".