4511131680 has 384 divisors, whose sum is σ = 16362694656. Its totient is φ = 1042652160.

The previous prime is 4511131643. The next prime is 4511131699. The reversal of 4511131680 is 861311154.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 14694087 + ... + 14694393.

It is an arithmetic number, because the mean of its divisors is an integer number (42611184).

Almost surely, 2^4511131680 is an apocalyptic number.

4511131680 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 4511131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181347328).

4511131680 is an abundant number, since it is smaller than the sum of its proper divisors (11851562976).

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

4511131680 is a wasteful number, since it uses less digits than its factorization.

4511131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 4511131680 is about 67164.9587210474. The cubic root of 4511131680 is about 1652.3238367158.

The spelling of 4511131680 in words is "four billion, five hundred eleven million, one hundred thirty-one thousand, six hundred eighty".