81016081401040 has 80 divisors (see below), whose sum is σ = 199968764662080. Its totient is φ = 30419696240640.

The previous prime is 81016081400999. The next prime is 81016081401067. The reversal of 81016081401040 is 4010418061018.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 81016081400987 and 81016081401005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78073806 + ... + 79104685.

It is an arithmetic number, because the mean of its divisors is an integer number (2499609558276).

Almost surely, 2^{81016081401040} is an apocalyptic number.

81016081401040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81016081401040 is an abundant number, since it is smaller than the sum of its proper divisors (118952683261040).

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

81016081401040 is a wasteful number, since it uses less digits than its factorization.

81016081401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157178900 (or 157178894 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

Adding to 81016081401040 its reverse (4010418061018), we get a palindrome (85026499462058).

The spelling of 81016081401040 in words is "eighty-one trillion, sixteen billion, eighty-one million, four hundred one thousand, forty".