8064141120 has 672 divisors, whose sum is σ = 34330233600. Its totient is φ = 1696038912.

The previous prime is 8064141119. The next prime is 8064141133. The reversal of 8064141120 is 211414608.

It is a happy number.

8064141120 is a `hidden beast` number, since 8 + 0 + 641 + 4 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14172196 + ... + 14172764.

Almost surely, 2^8064141120 is an apocalyptic number.

8064141120 is a gapful number since it is divisible by the number (80) 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 8064141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17165116800).

8064141120 is an abundant number, since it is smaller than the sum of its proper divisors (26266092480).

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

8064141120 is a wasteful number, since it uses less digits than its factorization.

8064141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8064141120 is about 89800.5630271882. The cubic root of 8064141120 is about 2005.3308716128.

Adding to 8064141120 its reverse (211414608), we get a palindrome (8275555728).

The spelling of 8064141120 in words is "eight billion, sixty-four million, one hundred forty-one thousand, one hundred twenty".