80022349440 has 768 divisors, whose sum is σ = 323592796800. Its totient is φ = 18718801920.

The previous prime is 80022349439. The next prime is 80022349471. The reversal of 80022349440 is 4494322008.

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 = 80022349395 and 80022349404.

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 95 ways as a sum of consecutive naturals, for example, 49610074 + ... + 49611686.

Almost surely, 2^80022349440 is an apocalyptic number.

80022349440 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 80022349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161796398400).

80022349440 is an abundant number, since it is smaller than the sum of its proper divisors (243570447360).

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

80022349440 is a wasteful number, since it uses less digits than its factorization.

80022349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 80022349440 in words is "eighty billion, twenty-two million, three hundred forty-nine thousand, four hundred forty".