4828799888640 has 4032 divisors, whose sum is σ = 23330354664960. Its totient is φ = 928760463360.

The previous prime is 4828799888629. The next prime is 4828799888657. The reversal of 4828799888640 is 468889978284.

4828799888640 is a `hidden beast` number, since 482 + 8 + 7 + 9 + 98 + 8 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×4828799888640³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 4828799888640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 66147943644 + ... + 66147943716.

It is an arithmetic number, because the mean of its divisors is an integer number (5786298280).

Almost surely, 2^{4828799888640} is an apocalyptic number.

4828799888640 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 4828799888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665177332480).

4828799888640 is an abundant number, since it is smaller than the sum of its proper divisors (18501554776320).

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

4828799888640 is a wasteful number, since it uses less digits than its factorization.

4828799888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 81.

The spelling of 4828799888640 in words is "four trillion, eight hundred twenty-eight billion, seven hundred ninety-nine million, eight hundred eighty-eight thousand, six hundred forty".