808400440480 has 24 divisors (see below), whose sum is σ = 1909846041012. Its totient is φ = 323360176128.

The previous prime is 808400440439. The next prime is 808400440483. The reversal of 808400440480 is 84044004808.

It can be written as a sum of positive squares in 2 ways, for example, as 806023292944 + 2377147536 = 897788^2 + 48756^2 .

It is a super-2 number, since 2×808400440480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (808400440483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2526251217 + ... + 2526251536.

Almost surely, 2^808400440480 is an apocalyptic number.

808400440480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808400440480 is an abundant number, since it is smaller than the sum of its proper divisors (1101445600532).

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

808400440480 is a wasteful number, since it uses less digits than its factorization.

808400440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052502768 (or 5052502760 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 808400440480 in words is "eight hundred eight billion, four hundred million, four hundred forty thousand, four hundred eighty".