4805917487280 has 1440 divisors, whose sum is σ = 20811227621184. Its totient is φ = 984590401536.

The previous prime is 4805917487269. The next prime is 4805917487309. The reversal of 4805917487280 is 827847195084.

4805917487280 is a `hidden beast` number, since 4 + 80 + 59 + 1 + 7 + 487 + 28 + 0 = 666.

It is a super-3 number, since 3×4805917487280³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3885138822 + ... + 3885140058.

Almost surely, 2^{4805917487280} is an apocalyptic number.

4805917487280 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 4805917487280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10405613810592).

4805917487280 is an abundant number, since it is smaller than the sum of its proper divisors (16005310133904).

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

4805917487280 is a wasteful number, since it uses less digits than its factorization.

4805917487280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 4805917487280 in words is "four trillion, eight hundred five billion, nine hundred seventeen million, four hundred eighty-seven thousand, two hundred eighty".