4866656256000 has 2880 divisors, whose sum is σ = 22863560638464. Its totient is φ = 1003290624000.

The previous prime is 4866656255947. The next prime is 4866656256053. The reversal of 4866656256000 is 6526566684.

It is an interprime number because it is at equal distance from previous prime (4866656255947) and next prime (4866656256053).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4866656256000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38320127937 + ... + 38320128063.

Almost surely, 2^{4866656256000} is an apocalyptic number.

4866656256000 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 4866656256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431780319232).

4866656256000 is an abundant number, since it is smaller than the sum of its proper divisors (17996904382464).

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

4866656256000 is an equidigital number, since it uses as much as digits as its factorization.

4866656256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4866656256000 in words is "four trillion, eight hundred sixty-six billion, six hundred fifty-six million, two hundred fifty-six thousand".