81417229440 has 256 divisors, whose sum is σ = 269525975040. Its totient is φ = 20882534400.

The previous prime is 81417229423. The next prime is 81417229511. The reversal of 81417229440 is 4492271418.

It is a junction number, because it is equal to n+sod(n) for n = 81417229392 and 81417229401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9935745 + ... + 9943935.

It is an arithmetic number, because the mean of its divisors is an integer number (1052835840).

Almost surely, 2^81417229440 is an apocalyptic number.

81417229440 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 81417229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134762987520).

81417229440 is an abundant number, since it is smaller than the sum of its proper divisors (188108745600).

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

81417229440 is a wasteful number, since it uses less digits than its factorization.

81417229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 81417229440 in words is "eighty-one billion, four hundred seventeen million, two hundred twenty-nine thousand, four hundred forty".