4134906880 has 352 divisors, whose sum is σ = 11604426624. Its totient is φ = 1401421824.

The previous prime is 4134906859. The next prime is 4134906887. The reversal of 4134906880 is 886094314.

It is not an unprimeable number, because it can be changed into a prime (4134906887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56642524 + ... + 56642596.

Almost surely, 2^4134906880 is an apocalyptic number.

4134906880 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 4134906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802213312).

4134906880 is an abundant number, since it is smaller than the sum of its proper divisors (7469519744).

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

4134906880 is a wasteful number, since it uses less digits than its factorization.

4134906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 4134906880 is about 64303.2415979164. The cubic root of 4134906880 is about 1605.0500438908.

The spelling of 4134906880 in words is "four billion, one hundred thirty-four million, nine hundred six thousand, eight hundred eighty".