4828378464000 has 3456 divisors, whose sum is σ = 23124731535360. Its totient is φ = 982388736000.

The previous prime is 4828378463989. The next prime is 4828378464017. The reversal of 4828378464000 is 4648738284.

It is a happy number.

4828378464000 is a `hidden beast` number, since 4 + 82 + 83 + 7 + 84 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17061407859 + ... + 17061408141.

Almost surely, 2^{4828378464000} is an apocalyptic number.

4828378464000 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 4828378464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562365767680).

4828378464000 is an abundant number, since it is smaller than the sum of its proper divisors (18296353071360).

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

4828378464000 is a wasteful number, since it uses less digits than its factorization.

4828378464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

It can be divided in two parts, 4828 and 378464000, that added together give a triangular number (378468828 = T₂₇₅₁₂).

The spelling of 4828378464000 in words is "four trillion, eight hundred twenty-eight billion, three hundred seventy-eight million, four hundred sixty-four thousand".