4134049920 has 1024 divisors, whose sum is σ = 19740672000. Its totient is φ = 789626880.

The previous prime is 4134049901. The next prime is 4134049951. The reversal of 4134049920 is 299404314.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17297161 + ... + 17297399.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 2^4134049920 is an apocalyptic number.

4134049920 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 4134049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000).

4134049920 is an abundant number, since it is smaller than the sum of its proper divisors (15606622080).

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

4134049920 is a wasteful number, since it uses less digits than its factorization.

4134049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4134049920 is about 64296.5778249512. The cubic root of 4134049920 is about 1604.9391539515.

It can be divided in two parts, 413404 and 9920, that added together give a palindrome (423324).

The spelling of 4134049920 in words is "four billion, one hundred thirty-four million, forty-nine thousand, nine hundred twenty".