4778812896000 has 1152 divisors, whose sum is σ = 18801486692352. Its totient is φ = 1060577280000.

The previous prime is 4778812895939. The next prime is 4778812896001. The reversal of 4778812896000 is 6982188774.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4778812896001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1743454630 + ... + 1743457370.

It is an arithmetic number, because the mean of its divisors is an integer number (16320734976).

Almost surely, 2^{4778812896000} is an apocalyptic number.

4778812896000 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 4778812896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400743346176).

4778812896000 is an abundant number, since it is smaller than the sum of its proper divisors (14022673796352).

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

4778812896000 is a wasteful number, since it uses less digits than its factorization.

4778812896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 4778812896000 in words is "four trillion, seven hundred seventy-eight billion, eight hundred twelve million, eight hundred ninety-six thousand".