4960267804800 has 3456 divisors, whose sum is σ = 24277952361600. Its totient is φ = 983549952000.

The previous prime is 4960267804799. The next prime is 4960267804867. The reversal of 4960267804800 is 84087620694.

4960267804800 is a `hidden beast` number, since 4 + 9 + 60 + 26 + 7 + 80 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11782108590 + ... + 11782109010.

It is an arithmetic number, because the mean of its divisors is an integer number (7024870475).

Almost surely, 2^{4960267804800} is an apocalyptic number.

4960267804800 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 4960267804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138976180800).

4960267804800 is an abundant number, since it is smaller than the sum of its proper divisors (19317684556800).

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

4960267804800 is a wasteful number, since it uses less digits than its factorization.

4960267804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4960267804800 in words is "four trillion, nine hundred sixty billion, two hundred sixty-seven million, eight hundred four thousand, eight hundred".