805130118374400 has 4752 divisors, whose sum is σ = 3747334063269888. Its totient is φ = 163536371712000.

The previous prime is 805130118374311. The next prime is 805130118374447. The reversal of 805130118374400 is 4473811031508.

805130118374400 is a `hidden beast` number, since 8 + 0 + 513 + 0 + 11 + 83 + 7 + 4 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1232971084474 + ... + 1232971085126.

Almost surely, 2^{805130118374400} is an apocalyptic number.

805130118374400 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 805130118374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873667031634944).

805130118374400 is an abundant number, since it is smaller than the sum of its proper divisors (2942203944895488).

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

805130118374400 is a wasteful number, since it uses less digits than its factorization.

805130118374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 805130118374400 in words is "eight hundred five trillion, one hundred thirty billion, one hundred eighteen million, three hundred seventy-four thousand, four hundred".