4134199680 has 576 divisors, whose sum is σ = 16073665920. Its totient is φ = 977633280.

The previous prime is 4134199613. The next prime is 4134199681. The reversal of 4134199680 is 869914314.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4134199680² = 34183213988224204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134199681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30176572 + ... + 30176708.

It is an arithmetic number, because the mean of its divisors is an integer number (27905670).

Almost surely, 2^4134199680 is an apocalyptic number.

4134199680 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 4134199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036832960).

4134199680 is an abundant number, since it is smaller than the sum of its proper divisors (11939466240).

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

4134199680 is a wasteful number, since it uses less digits than its factorization.

4134199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4134199680 is about 64297.7424175997. The cubic root of 4134199680 is about 1604.9585338808.

The spelling of 4134199680 in words is "four billion, one hundred thirty-four million, one hundred ninety-nine thousand, six hundred eighty".