4811130511488 has 768 divisors, whose sum is σ = 17124861600000. Its totient is φ = 1302402613248.

The previous prime is 4811130511471. The next prime is 4811130511501. The reversal of 4811130511488 is 8841150311184.

It is a happy number.

4811130511488 is a `hidden beast` number, since 4 + 8 + 1 + 113 + 0 + 51 + 1 + 488 = 666.

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, 1394933188 + ... + 1394936636.

It is an arithmetic number, because the mean of its divisors is an integer number (22297996875).

Almost surely, 2^{4811130511488} is an apocalyptic number.

4811130511488 is a gapful number since it is divisible by the number (48) 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 4811130511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562430800000).

4811130511488 is an abundant number, since it is smaller than the sum of its proper divisors (12313731088512).

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

4811130511488 is a wasteful number, since it uses less digits than its factorization.

4811130511488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 4811130511488 in words is "four trillion, eight hundred eleven billion, one hundred thirty million, five hundred eleven thousand, four hundred eighty-eight".