4134083616 has 288 divisors, whose sum is σ = 13452687360. Its totient is φ = 1227778560.

The previous prime is 4134083609. The next prime is 4134083623. The reversal of 4134083616 is 6163804314.

It is a happy number.

4134083616 is a `hidden beast` number, since 4 + 1 + 34 + 0 + 8 + 3 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (4134083609) and next prime (4134083623).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10793761 + ... + 10794143.

It is an arithmetic number, because the mean of its divisors is an integer number (46710720).

Almost surely, 2^4134083616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134083616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726343680).

4134083616 is an abundant number, since it is smaller than the sum of its proper divisors (9318603744).

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

4134083616 is a wasteful number, since it uses less digits than its factorization.

4134083616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4134083616 is about 64296.8398601362. The cubic root of 4134083616 is about 1604.9435144764.

The spelling of 4134083616 in words is "four billion, one hundred thirty-four million, eighty-three thousand, six hundred sixteen".