4839681312000 has 1728 divisors, whose sum is σ = 19755446151168. Its totient is φ = 1174487040000.

The previous prime is 4839681311999. The next prime is 4839681312001. The reversal of 4839681312000 is 2131869384.

4839681312000 is a `hidden beast` number, since 48 + 396 + 8 + 13 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4839681311999) and next prime (4839681312001).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4839681312001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4097951410 + ... + 4097952590.

It is an arithmetic number, because the mean of its divisors is an integer number (11432549856).

Almost surely, 2^{4839681312000} is an apocalyptic number.

4839681312000 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 4839681312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877723075584).

4839681312000 is an abundant number, since it is smaller than the sum of its proper divisors (14915764839168).

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

4839681312000 is a wasteful number, since it uses less digits than its factorization.

4839681312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4839681312000 in words is "four trillion, eight hundred thirty-nine billion, six hundred eighty-one million, three hundred twelve thousand".