4956841495200 has 576 divisors, whose sum is σ = 19189831772160. Its totient is φ = 1087355351040.

The previous prime is 4956841495189. The next prime is 4956841495213. The reversal of 4956841495200 is 25941486594.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81331939 + ... + 81392861.

It is an arithmetic number, because the mean of its divisors is an integer number (33315680160).

Almost surely, 2^{4956841495200} is an apocalyptic number.

4956841495200 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 4956841495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594915886080).

4956841495200 is an abundant number, since it is smaller than the sum of its proper divisors (14232990276960).

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

4956841495200 is a wasteful number, since it uses less digits than its factorization.

4956841495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61149 (or 61136 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 4956841495200 in words is "four trillion, nine hundred fifty-six billion, eight hundred forty-one million, four hundred ninety-five thousand, two hundred".