4064165952 has 224 divisors, whose sum is σ = 13694054400. Its totient is φ = 1032990720.

The previous prime is 4064165929. The next prime is 4064165953. The reversal of 4064165952 is 2595614604.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (4064165953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691924 + ... + 697772.

Almost surely, 2^4064165952 is an apocalyptic number.

4064165952 is a gapful number since it is divisible by the number (42) 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 4064165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847027200).

4064165952 is an abundant number, since it is smaller than the sum of its proper divisors (9629888448).

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

4064165952 is a wasteful number, since it uses less digits than its factorization.

4064165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 4064165952 is about 63750.8113830718. The cubic root of 4064165952 is about 1595.8441566161.

The spelling of 4064165952 in words is "four billion, sixty-four million, one hundred sixty-five thousand, nine hundred fifty-two".