448004484040 has 16 divisors (see below), whose sum is σ = 1008010089180. Its totient is φ = 179201793600.

The previous prime is 448004483911. The next prime is 448004484041. The reversal of 448004484040 is 40484400844.

It can be written as a sum of positive squares in 2 ways, for example, as 404091605124 + 43912878916 = 635682^2 + 209554^2 .

It is a super-2 number, since 2×448004484040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11200112101 = 448004484040 / (4 + 4 + 8 + 0 + 0 + 4 + 4 + 8 + 4 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 448004483984 and 448004484002.

It is not an unprimeable number, because it can be changed into a prime (448004484041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5600056011 + ... + 5600056090.

Almost surely, 2^448004484040 is an apocalyptic number.

448004484040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448004484040 is an abundant number, since it is smaller than the sum of its proper divisors (560005605140).

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

448004484040 is a wasteful number, since it uses less digits than its factorization.

448004484040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200112112 (or 11200112108 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

Adding to 448004484040 its reverse (40484400844), we get a palindrome (488488884884).

The spelling of 448004484040 in words is "four hundred forty-eight billion, four million, four hundred eighty-four thousand, forty".