4064141952 has 576 divisors, whose sum is σ = 14372248800. Its totient is φ = 1133180928.

The previous prime is 4064141951. The next prime is 4064141953. The reversal of 4064141952 is 2591414604.

4064141952 is a `hidden beast` number, since 4 + 0 + 641 + 4 + 1 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4064141951) and next prime (4064141953).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064141951) 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, 176701813 + ... + 176701835.

Almost surely, 2^4064141952 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 4064141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186124400).

4064141952 is an abundant number, since it is smaller than the sum of its proper divisors (10308106848).

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

4064141952 is a wasteful number, since it uses less digits than its factorization.

4064141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4064141952 is about 63750.6231498956. The cubic root of 4064141952 is about 1595.8410153127.

The spelling of 4064141952 in words is "four billion, sixty-four million, one hundred forty-one thousand, nine hundred fifty-two".