813271622400 has 1296 divisors, whose sum is σ = 3362803516800. Its totient is φ = 193252884480.

The previous prime is 813271622399. The next prime is 813271622413. The reversal of 813271622400 is 4226172318.

It is a happy number.

813271622400 is a `hidden beast` number, since 8 + 1 + 3 + 27 + 1 + 622 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×813271622400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 502328791 + ... + 502330409.

It is an arithmetic number, because the mean of its divisors is an integer number (2594755800).

Almost surely, 2^813271622400 is an apocalyptic number.

813271622400 is a gapful number since it is divisible by the number (80) 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 813271622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681401758400).

813271622400 is an abundant number, since it is smaller than the sum of its proper divisors (2549531894400).

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

813271622400 is a wasteful number, since it uses less digits than its factorization.

813271622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 813271622400 its reverse (4226172318), we get a palindrome (817497794718).

The spelling of 813271622400 in words is "eight hundred thirteen billion, two hundred seventy-one million, six hundred twenty-two thousand, four hundred".