4114068480 has 528 divisors, whose sum is σ = 15532308480. Its totient is φ = 1003290624.

The previous prime is 4114068479. The next prime is 4114068487. The reversal of 4114068480 is 848604114.

4114068480 is a `hidden beast` number, since 4 + 114 + 0 + 68 + 480 = 666.

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 (4114068487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32394177 + ... + 32394303.

Almost surely, 2^4114068480 is an apocalyptic number.

4114068480 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 4114068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766154240).

4114068480 is an abundant number, since it is smaller than the sum of its proper divisors (11418240000).

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

4114068480 is a wasteful number, since it uses less digits than its factorization.

4114068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4114068480 is about 64141.0046694001. The cubic root of 4114068480 is about 1602.3492157195.

The spelling of 4114068480 in words is "four billion, one hundred fourteen million, sixty-eight thousand, four hundred eighty".