5505120040 has 192 divisors, whose sum is σ = 15109545600. Its totient is φ = 1767937536.

The previous prime is 5505120037. The next prime is 5505120121. The reversal of 5505120040 is 400215055.

It is a junction number, because it is equal to n+sod(n) for n = 5505119993 and 5505120020.

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 47 ways as a sum of consecutive naturals, for example, 10815306 + ... + 10815814.

It is an arithmetic number, because the mean of its divisors is an integer number (78695550).

Almost surely, 2^5505120040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554772800).

5505120040 is an abundant number, since it is smaller than the sum of its proper divisors (9604425560).

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

5505120040 is a wasteful number, since it uses less digits than its factorization.

5505120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 5505120040 is about 74196.4961436859. The cubic root of 5505120040 is about 1765.7217409556.

Adding to 5505120040 its reverse (400215055), we get a palindrome (5905335095).

The spelling of 5505120040 in words is "five billion, five hundred five million, one hundred twenty thousand, forty".