4877107200000 has 1944 divisors, whose sum is σ = 21244511217384. Its totient is φ = 1114767360000.

The previous prime is 4877107199981. The next prime is 4877107200011. The reversal of 4877107200000 is 27017784.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 696729599997 + ... + 696729600003.

It is an arithmetic number, because the mean of its divisors is an integer number (10928246511).

Almost surely, 2^{4877107200000} is an apocalyptic number.

4877107200000 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 4877107200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622255608692).

4877107200000 is an abundant number, since it is smaller than the sum of its proper divisors (16367404017384).

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

4877107200000 is an frugal number, since it uses more digits than its factorization.

4877107200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 4877107200000 in words is "four trillion, eight hundred seventy-seven billion, one hundred seven million, two hundred thousand".