4459419793920 has 640 divisors, whose sum is σ = 17590129159680. Its totient is φ = 938527948800.

The previous prime is 4459419793891. The next prime is 4459419793937. The reversal of 4459419793920 is 293979149544.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285834120 + ... + 285849720.

It is an arithmetic number, because the mean of its divisors is an integer number (27484576812).

Almost surely, 2^{4459419793920} is an apocalyptic number.

4459419793920 is a gapful number since it is divisible by the number (40) 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 4459419793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795064579840).

4459419793920 is an abundant number, since it is smaller than the sum of its proper divisors (13130709365760).

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

4459419793920 is a wasteful number, since it uses less digits than its factorization.

4459419793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16056 (or 16040 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 4459419793920 in words is "four trillion, four hundred fifty-nine billion, four hundred nineteen million, seven hundred ninety-three thousand, nine hundred twenty".