4914944246800 has 240 divisors, whose sum is σ = 13634167357440. Its totient is φ = 1667814382080.

The previous prime is 4914944246743. The next prime is 4914944246819. The reversal of 4914944246800 is 86424494194.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148979907 + ... + 149012893.

It is an arithmetic number, because the mean of its divisors is an integer number (56809030656).

Almost surely, 2^{4914944246800} is an apocalyptic number.

4914944246800 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 4914944246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817083678720).

4914944246800 is an abundant number, since it is smaller than the sum of its proper divisors (8719223110640).

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

4914944246800 is a wasteful number, since it uses less digits than its factorization.

4914944246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33558 (or 33547 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 4914944246800 in words is "four trillion, nine hundred fourteen billion, nine hundred forty-four million, two hundred forty-six thousand, eight hundred".