8090461440 has 648 divisors, whose sum is σ = 31404915360. Its totient is φ = 1988665344.

The previous prime is 8090461411. The next prime is 8090461507. The reversal of 8090461440 is 441640908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8090461395 and 8090461404.

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 71 ways as a sum of consecutive naturals, for example, 218661102 + ... + 218661138.

Almost surely, 2^8090461440 is an apocalyptic number.

8090461440 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 8090461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702457680).

8090461440 is an abundant number, since it is smaller than the sum of its proper divisors (23314453920).

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

8090461440 is an equidigital number, since it uses as much as digits as its factorization.

8090461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8090461440 is about 89946.9923899627. The cubic root of 8090461440 is about 2007.5102163583.

The spelling of 8090461440 in words is "eight billion, ninety million, four hundred sixty-one thousand, four hundred forty".