4778587941120 has 864 divisors, whose sum is σ = 20764242172800. Its totient is φ = 1034754932736.

The previous prime is 4778587941097. The next prime is 4778587941157. The reversal of 4778587941120 is 211497858774.

4778587941120 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 587 + 9 + 41 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4778587941120² (a number of 26 digits) contains 22 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32101102 + ... + 32249618.

It is an arithmetic number, because the mean of its divisors is an integer number (24032687700).

Almost surely, 2^{4778587941120} is an apocalyptic number.

4778587941120 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 4778587941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382121086400).

4778587941120 is an abundant number, since it is smaller than the sum of its proper divisors (15985654231680).

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

4778587941120 is a wasteful number, since it uses less digits than its factorization.

4778587941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148580 (or 148553 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 4778587941120 in words is "four trillion, seven hundred seventy-eight billion, five hundred eighty-seven million, nine hundred forty-one thousand, one hundred twenty".