4877510567040 has 320 divisors, whose sum is σ = 17889247415160. Its totient is φ = 1265515757568.

The previous prime is 4877510567023. The next prime is 4877510567053. The reversal of 4877510567040 is 407650157784.

4877510567040 is a `hidden beast` number, since 4 + 8 + 7 + 7 + 510 + 56 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3777176702016 + 1100333865024 = 1943496^2 + 1048968^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 646624 + ... + 3189536.

Almost surely, 2^{4877510567040} is an apocalyptic number.

4877510567040 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 4877510567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944623707580).

4877510567040 is an abundant number, since it is smaller than the sum of its proper divisors (13011736848120).

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

4877510567040 is a wasteful number, since it uses less digits than its factorization.

4877510567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542981 (or 2542960 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 4877510567040 in words is "four trillion, eight hundred seventy-seven billion, five hundred ten million, five hundred sixty-seven thousand, forty".