4800311135424 has 1344 divisors, whose sum is σ = 18032962867200. Its totient is φ = 1243662336000.

The previous prime is 4800311135401. The next prime is 4800311135467. The reversal of 4800311135424 is 4245311130084.

4800311135424 is a `hidden beast` number, since 4 + 80 + 0 + 31 + 1 + 1 + 3 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5037052132 + ... + 5037053084.

Almost surely, 2^{4800311135424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800311135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016481433600).

4800311135424 is an abundant number, since it is smaller than the sum of its proper divisors (13232651731776).

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

4800311135424 is a wasteful number, since it uses less digits than its factorization.

4800311135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4800311135424 in words is "four trillion, eight hundred billion, three hundred eleven million, one hundred thirty-five thousand, four hundred twenty-four".