4128416640 has 256 divisors, whose sum is σ = 14716641600. Its totient is φ = 1093754880.

The previous prime is 4128416581. The next prime is 4128416641. The reversal of 4128416640 is 466148214.

It is a happy number.

4128416640 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 4 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4128416595 and 4128416604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128416641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2988750 + ... + 2990130.

Almost surely, 2^4128416640 is an apocalyptic number.

4128416640 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 4128416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358320800).

4128416640 is an abundant number, since it is smaller than the sum of its proper divisors (10588224960).

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

4128416640 is a wasteful number, since it uses less digits than its factorization.

4128416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4128416640 is about 64252.7558942027. The cubic root of 4128416640 is about 1604.2098302825.

The spelling of 4128416640 in words is "four billion, one hundred twenty-eight million, four hundred sixteen thousand, six hundred forty".