4911894280800 has 432 divisors, whose sum is σ = 19236329264880. Its totient is φ = 1209080770560.

The previous prime is 4911894280739. The next prime is 4911894280841. The reversal of 4911894280800 is 80824981194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2977612 + ... + 4323188.

It is an arithmetic number, because the mean of its divisors is an integer number (44528539965).

Almost surely, 2^{4911894280800} is an apocalyptic number.

4911894280800 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 4911894280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618164632440).

4911894280800 is an abundant number, since it is smaller than the sum of its proper divisors (14324434984080).

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

4911894280800 is a wasteful number, since it uses less digits than its factorization.

4911894280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345632 (or 1345600 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 4911894280800 in words is "four trillion, nine hundred eleven billion, eight hundred ninety-four million, two hundred eighty thousand, eight hundred".