4114306560 has 720 divisors, whose sum is σ = 17065064016. Its totient is φ = 838139904.

The previous prime is 4114306549. The next prime is 4114306571. The reversal of 4114306560 is 656034114.

It is an interprime number because it is at equal distance from previous prime (4114306549) and next prime (4114306571).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141872626 + ... + 141872654.

Almost surely, 2^4114306560 is an apocalyptic number.

4114306560 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 4114306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532532008).

4114306560 is an abundant number, since it is smaller than the sum of its proper divisors (12950757456).

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

4114306560 is a wasteful number, since it uses less digits than its factorization.

4114306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4114306560 is about 64142.8605536111. The cubic root of 4114306560 is about 1602.3801242912.

The spelling of 4114306560 in words is "four billion, one hundred fourteen million, three hundred six thousand, five hundred sixty".