4261916160 has 240 divisors, whose sum is σ = 14920201296. Its totient is φ = 1124204544.

The previous prime is 4261916159. The next prime is 4261916161. The reversal of 4261916160 is 616191624.

4261916160 is a `hidden beast` number, since 4 + 26 + 19 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4261916159) and next prime (4261916161).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261916161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2233927 + ... + 2235833.

Almost surely, 2^4261916160 is an apocalyptic number.

4261916160 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 4261916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460100648).

4261916160 is an abundant number, since it is smaller than the sum of its proper divisors (10658285136).

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

4261916160 is a wasteful number, since it uses less digits than its factorization.

4261916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4261916160 is about 65283.3528550732. The cubic root of 4261916160 is about 1621.3183598379.

The spelling of 4261916160 in words is "four billion, two hundred sixty-one million, nine hundred sixteen thousand, one hundred sixty".