4064102016 has 128 divisors (see below), whose sum is σ = 11711313600. Its totient is φ = 1241284608.

The previous prime is 4064101997. The next prime is 4064102039. The reversal of 4064102016 is 6102014604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690960 + ... + 696816.

Almost surely, 2^4064102016 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 4064102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855656800).

4064102016 is an abundant number, since it is smaller than the sum of its proper divisors (7647211584).

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

4064102016 is a wasteful number, since it uses less digits than its factorization.

4064102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4064102016 is about 63750.3099286584. The cubic root of 4064102016 is about 1595.8357881564.

The spelling of 4064102016 in words is "four billion, sixty-four million, one hundred two thousand, sixteen".