807418967040 has 1056 divisors, whose sum is σ = 3415309387776. Its totient is φ = 172355420160.

The previous prime is 807418967029. The next prime is 807418967057. The reversal of 807418967040 is 40769814708.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319010575 + ... + 319013105.

It is an arithmetic number, because the mean of its divisors is an integer number (3234194496).

Almost surely, 2^807418967040 is an apocalyptic number.

807418967040 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 807418967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707654693888).

807418967040 is an abundant number, since it is smaller than the sum of its proper divisors (2607890420736).

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

807418967040 is a wasteful number, since it uses less digits than its factorization.

807418967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 807418967040 in words is "eight hundred seven billion, four hundred eighteen million, nine hundred sixty-seven thousand, forty".