4029095616 has 448 divisors, whose sum is σ = 14132966400. Its totient is φ = 983384064.

The previous prime is 4029095579. The next prime is 4029095641. The reversal of 4029095616 is 6165909204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4029095616² = 32467222965740838912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17594190 + ... + 17594418.

It is an arithmetic number, because the mean of its divisors is an integer number (31546800).

Almost surely, 2^4029095616 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 4029095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066483200).

4029095616 is an abundant number, since it is smaller than the sum of its proper divisors (10103870784).

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

4029095616 is a wasteful number, since it uses less digits than its factorization.

4029095616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 4029095616 is about 63475.1574712501. The cubic root of 4029095616 is about 1591.2406250205.

The spelling of 4029095616 in words is "four billion, twenty-nine million, ninety-five thousand, six hundred sixteen".