4775866441920 has 2016 divisors, whose sum is σ = 21489280750080. Its totient is φ = 965667225600.

The previous prime is 4775866441873. The next prime is 4775866441933. The reversal of 4775866441920 is 291446685774.

4775866441920 is a `hidden beast` number, since 4 + 7 + 7 + 586 + 6 + 4 + 41 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 2651785020 + ... + 2651786820.

Almost surely, 2^{4775866441920} is an apocalyptic number.

4775866441920 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 4775866441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744640375040).

4775866441920 is an abundant number, since it is smaller than the sum of its proper divisors (16713414308160).

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

4775866441920 is a wasteful number, since it uses less digits than its factorization.

4775866441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4775866441920 in words is "four trillion, seven hundred seventy-five billion, eight hundred sixty-six million, four hundred forty-one thousand, nine hundred twenty".