20438463283200 has 1920 divisors, whose sum is σ = 81883473408000. Its totient is φ = 5045118566400.

The previous prime is 20438463283157. The next prime is 20438463283201. The reversal of 20438463283200 is 238236483402.

20438463283200 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 8 + 4 + 632 + 8 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20438463283201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 659305267185 + ... + 659305267215.

It is an arithmetic number, because the mean of its divisors is an integer number (42647642400).

Almost surely, 2^{20438463283200} is an apocalyptic number.

20438463283200 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 20438463283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40941736704000).

20438463283200 is an abundant number, since it is smaller than the sum of its proper divisors (61445010124800).

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

20438463283200 is an frugal number, since it uses more digits than its factorization.

20438463283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 20438463283200 in words is "twenty trillion, four hundred thirty-eight billion, four hundred sixty-three million, two hundred eighty-three thousand, two hundred".