813168311040 has 1728 divisors, whose sum is σ = 3257004441600. Its totient is φ = 186325401600.

The previous prime is 813168310991. The next prime is 813168311041. The reversal of 813168311040 is 40113861318.

813168311040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813168311040² (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 a junction number, because it is equal to n+sod(n) for n = 813168310986 and 813168311004.

It is not an unprimeable number, because it can be changed into a prime (813168311041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10293269721 + ... + 10293269799.

Almost surely, 2^813168311040 is an apocalyptic number.

813168311040 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 813168311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628502220800).

813168311040 is an abundant number, since it is smaller than the sum of its proper divisors (2443836130560).

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

813168311040 is a wasteful number, since it uses less digits than its factorization.

813168311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 813168311040 in words is "eight hundred thirteen billion, one hundred sixty-eight million, three hundred eleven thousand, forty".