4918655436800 has 864 divisors, whose sum is σ = 14572916336160. Its totient is φ = 1641185280000.

The previous prime is 4918655436787. The next prime is 4918655436887. The reversal of 4918655436800 is 86345568194.

It is a self number, because there is not a number n which added to its sum of digits gives 4918655436800.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19596236675 + ... + 19596236925.

It is an arithmetic number, because the mean of its divisors is an integer number (16866801315).

Almost surely, 2^{4918655436800} is an apocalyptic number.

4918655436800 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 4918655436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286458168080).

4918655436800 is an abundant number, since it is smaller than the sum of its proper divisors (9654260899360).

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

4918655436800 is a wasteful number, since it uses less digits than its factorization.

4918655436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 59.

The spelling of 4918655436800 in words is "four trillion, nine hundred eighteen billion, six hundred fifty-five million, four hundred thirty-six thousand, eight hundred".