4879468291104 has 216 divisors, whose sum is σ = 15265472895036. Its totient is φ = 1477332172800.

The previous prime is 4879468291081. The next prime is 4879468291127. The reversal of 4879468291104 is 4011928649784.

4879468291104 is a `hidden beast` number, since 4 + 8 + 79 + 468 + 2 + 91 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4879468291081) and next prime (4879468291127).

It can be written as a sum of positive squares in 2 ways, for example, as 4536133232400 + 343335058704 = 2129820^2 + 585948^2 .

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 35 ways as a sum of consecutive naturals, for example, 40119024 + ... + 40240464.

Almost surely, 2^{4879468291104} is an apocalyptic number.

4879468291104 is a gapful number since it is divisible by the number (44) 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 4879468291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632736447518).

4879468291104 is an abundant number, since it is smaller than the sum of its proper divisors (10386004603932).

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

4879468291104 is a wasteful number, since it uses less digits than its factorization.

4879468291104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122632 (or 122610 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4879468291104 in words is "four trillion, eight hundred seventy-nine billion, four hundred sixty-eight million, two hundred ninety-one thousand, one hundred four".