80446007040 has 288 divisors, whose sum is σ = 306396711936. Its totient is φ = 17588060160.

The previous prime is 80446007023. The next prime is 80446007069. The reversal of 80446007040 is 4070064408.

It is a junction number, because it is equal to n+sod(n) for n = 80446006992 and 80446007010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553180 + ... + 683300.

It is an arithmetic number, because the mean of its divisors is an integer number (1063877472).

Almost surely, 2^80446007040 is an apocalyptic number.

80446007040 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 80446007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153198355968).

80446007040 is an abundant number, since it is smaller than the sum of its proper divisors (225950704896).

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

80446007040 is a wasteful number, since it uses less digits than its factorization.

80446007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130175 (or 130161 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 80446007040 in words is "eighty billion, four hundred forty-six million, seven thousand, forty".