4918428047520 has 1344 divisors, whose sum is σ = 20008552435200. Its totient is φ = 1131926814720.

The previous prime is 4918428047513. The next prime is 4918428047557. The reversal of 4918428047520 is 257408248194.

4918428047520 is a `hidden beast` number, since 4 + 91 + 8 + 4 + 2 + 80 + 475 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2275995240 + ... + 2275997400.

It is an arithmetic number, because the mean of its divisors is an integer number (14887315800).

Almost surely, 2^{4918428047520} is an apocalyptic number.

4918428047520 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 4918428047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004276217600).

4918428047520 is an abundant number, since it is smaller than the sum of its proper divisors (15090124387680).

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

4918428047520 is a wasteful number, since it uses less digits than its factorization.

4918428047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4918428047520 in words is "four trillion, nine hundred eighteen billion, four hundred twenty-eight million, forty-seven thousand, five hundred twenty".