555409540224 has 960 divisors, whose sum is σ = 2111326192800. Its totient is φ = 143909498880.

The previous prime is 555409540223. The next prime is 555409540271. The reversal of 555409540224 is 422045904555.

555409540224 is a `hidden beast` number, since 5 + 554 + 0 + 95 + 4 + 0 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 555409540224.

It is not an unprimeable number, because it can be changed into a prime (555409540223) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1357969332 + ... + 1357969740.

Almost surely, 2^555409540224 is an apocalyptic number.

555409540224 is a gapful number since it is divisible by the number (54) 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 555409540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055663096400).

555409540224 is an abundant number, since it is smaller than the sum of its proper divisors (1555916652576).

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

555409540224 is an frugal number, since it uses more digits than its factorization.

555409540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 555409540224 in words is "five hundred fifty-five billion, four hundred nine million, five hundred forty thousand, two hundred twenty-four".