4405580419968 has 1024 divisors, whose sum is σ = 16315500902400. Its totient is φ = 1153694638080.

The previous prime is 4405580419967. The next prime is 4405580419969. The reversal of 4405580419968 is 8699140855044.

4405580419968 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 580 + 41 + 9 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4405580419967) and next prime (4405580419969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405580419967) 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 127 ways as a sum of consecutive naturals, for example, 4152290158 + ... + 4152291218.

It is an arithmetic number, because the mean of its divisors is an integer number (15933106350).

Almost surely, 2^{4405580419968} is an apocalyptic number.

4405580419968 is a gapful number since it is divisible by the number (48) 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 4405580419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157750451200).

4405580419968 is an abundant number, since it is smaller than the sum of its proper divisors (11909920482432).

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

4405580419968 is a wasteful number, since it uses less digits than its factorization.

4405580419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 4405580419968 in words is "four trillion, four hundred five billion, five hundred eighty million, four hundred nineteen thousand, nine hundred sixty-eight".