81462717399040 has 120 divisors (see below), whose sum is σ = 197860048333920. Its totient is φ = 32192492863488.

The previous prime is 81462717398983. The next prime is 81462717399127. The reversal of 81462717399040 is 4099371726418.

It is a self number, because there is not a number n which added to its sum of digits gives 81462717399040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808891 + ... + 12789829.

It is an arithmetic number, because the mean of its divisors is an integer number (1648833736116).

Almost surely, 2^{81462717399040} is an apocalyptic number.

81462717399040 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 81462717399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98930024166960).

81462717399040 is an abundant number, since it is smaller than the sum of its proper divisors (116397330934880).

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

81462717399040 is an equidigital number, since it uses as much as digits as its factorization.

81462717399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981055 (or 11981029 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 81462717399040 in words is "eighty-one trillion, four hundred sixty-two billion, seven hundred seventeen million, three hundred ninety-nine thousand, forty".