4118521680 has 640 divisors, whose sum is σ = 18238832640. Its totient is φ = 830269440.

The previous prime is 4118521663. The next prime is 4118521697. The reversal of 4118521680 is 861258114.

4118521680 is a `hidden beast` number, since 41 + 18 + 521 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4118521663) and next prime (4118521697).

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4520425 + ... + 4521335.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2^4118521680 is an apocalyptic number.

4118521680 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 4118521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

4118521680 is an abundant number, since it is smaller than the sum of its proper divisors (14120310960).

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

4118521680 is a wasteful number, since it uses less digits than its factorization.

4118521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 4118521680 is about 64175.7094234259. The cubic root of 4118521680 is about 1602.9271520142.

Adding to 4118521680 its reverse (861258114), we get a palindrome (4979779794).

The spelling of 4118521680 in words is "four billion, one hundred eighteen million, five hundred twenty-one thousand, six hundred eighty".