4686877440000 has 3240 divisors, whose sum is σ = 21670022654280. Its totient is φ = 970776576000.

The previous prime is 4686877439927. The next prime is 4686877440043. The reversal of 4686877440000 is 447786864.

4686877440000 is a `hidden beast` number, since 46 + 86 + 87 + 7 + 440 + 0 + 0 + 0 = 666.

It is a congruent number.

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 269 ways as a sum of consecutive naturals, for example, 203777279989 + ... + 203777280011.

It is an arithmetic number, because the mean of its divisors is an integer number (6688278597).

Almost surely, 2^{4686877440000} is an apocalyptic number.

4686877440000 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 4686877440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835011327140).

4686877440000 is an abundant number, since it is smaller than the sum of its proper divisors (16983145214280).

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

4686877440000 is a wasteful number, since it uses less digits than its factorization.

4686877440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4686877440000 in words is "four trillion, six hundred eighty-six billion, eight hundred seventy-seven million, four hundred forty thousand".