4936484044800 has 4320 divisors, whose sum is σ = 24901326213120. Its totient is φ = 934281216000.

The previous prime is 4936484044777. The next prime is 4936484044871. The reversal of 4936484044800 is 84404846394.

4936484044800 is a `hidden beast` number, since 49 + 3 + 6 + 484 + 0 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159241420785 + ... + 159241420815.

Almost surely, 2^{4936484044800} is an apocalyptic number.

4936484044800 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 4936484044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450663106560).

4936484044800 is an abundant number, since it is smaller than the sum of its proper divisors (19964842168320).

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

4936484044800 is a wasteful number, since it uses less digits than its factorization.

4936484044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 4936484044800 in words is "four trillion, nine hundred thirty-six billion, four hundred eighty-four million, forty-four thousand, eight hundred".