806941175040 has 3456 divisors, whose sum is σ = 4114110873600. Its totient is φ = 140460687360.

The previous prime is 806941174979. The next prime is 806941175057. The reversal of 806941175040 is 40571149608.

806941175040 is a `hidden beast` number, since 80 + 69 + 4 + 1 + 1 + 7 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6353867457 + ... + 6353867583.

It is an arithmetic number, because the mean of its divisors is an integer number (1190425600).

Almost surely, 2^806941175040 is an apocalyptic number.

806941175040 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 806941175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057055436800).

806941175040 is an abundant number, since it is smaller than the sum of its proper divisors (3307169698560).

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

806941175040 is a wasteful number, since it uses less digits than its factorization.

806941175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 806941175040 in words is "eight hundred six billion, nine hundred forty-one million, one hundred seventy-five thousand, forty".