4877286359040 has 720 divisors, whose sum is σ = 17604529488000. Its totient is φ = 1295359672320.

The previous prime is 4877286359021. The next prime is 4877286359093. The reversal of 4877286359040 is 409536827784.

4877286359040 is a `hidden beast` number, since 487 + 7 + 2 + 8 + 63 + 5 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9774120711 + ... + 9774121209.

It is an arithmetic number, because the mean of its divisors is an integer number (24450735400).

Almost surely, 2^{4877286359040} is an apocalyptic number.

4877286359040 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 4877286359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802264744000).

4877286359040 is an abundant number, since it is smaller than the sum of its proper divisors (12727243128960).

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

4877286359040 is an frugal number, since it uses more digits than its factorization.

4877286359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1000 counting only the distinct ones).

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

It can be divided in two parts, 48772863 and 59040, that added together give a triangular number (48831903 = T₉₈₈₂).

The spelling of 4877286359040 in words is "four trillion, eight hundred seventy-seven billion, two hundred eighty-six million, three hundred fifty-nine thousand, forty".