80331265440 has 144 divisors (see below), whose sum is σ = 274496295528. Its totient is φ = 21393082368.

The previous prime is 80331265429. The next prime is 80331265459. The reversal of 80331265440 is 4456213308.

80331265440 is a `hidden beast` number, since 80 + 3 + 31 + 2 + 6 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63087373584 + 17243891856 = 251172^2 + 131316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×80331265440² (a number of 23 digits) contains 22 as substring.

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 = 80331265395 and 80331265404.

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 23 ways as a sum of consecutive naturals, for example, 1053234 + ... + 1126926.

Almost surely, 2^80331265440 is an apocalyptic number.

80331265440 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 80331265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137248147764).

80331265440 is an abundant number, since it is smaller than the sum of its proper divisors (194165030088).

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

80331265440 is a wasteful number, since it uses less digits than its factorization.

80331265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74471 (or 74460 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 80331265440 its reverse (4456213308), we get a palindrome (84787478748).

The spelling of 80331265440 in words is "eighty billion, three hundred thirty-one million, two hundred sixty-five thousand, four hundred forty".