4064274144 has 168 divisors, whose sum is σ = 13711204080. Its totient is φ = 1161174528.

The previous prime is 4064274113. The next prime is 4064274163. The reversal of 4064274144 is 4414724604.

4064274144 is a `hidden beast` number, since 4 + 0 + 642 + 7 + 4 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 4064274099 and 4064274108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 150852 + ... + 175740.

It is an arithmetic number, because the mean of its divisors is an integer number (81614310).

Almost surely, 2^4064274144 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 4064274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855602040).

4064274144 is an abundant number, since it is smaller than the sum of its proper divisors (9646929936).

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

4064274144 is an equidigital number, since it uses as much as digits as its factorization.

4064274144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24924 (or 24901 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4064274144 is about 63751.6599313304. The cubic root of 4064274144 is about 1595.8583174583.

Adding to 4064274144 its reverse (4414724604), we get a palindrome (8478998748).

The spelling of 4064274144 in words is "four billion, sixty-four million, two hundred seventy-four thousand, one hundred forty-four".