8012401056 has 144 divisors (see below), whose sum is σ = 25463325888. Its totient is φ = 2368742400.

The previous prime is 8012401051. The next prime is 8012401069. The reversal of 8012401056 is 6501042108.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8012401051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99045 + ... + 160731.

It is an arithmetic number, because the mean of its divisors is an integer number (176828652).

Almost surely, 2^8012401056 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 8012401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731662944).

8012401056 is an abundant number, since it is smaller than the sum of its proper divisors (17450924832).

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

8012401056 is a wasteful number, since it uses less digits than its factorization.

8012401056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61755 (or 61744 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8012401056 is about 89512.0162659740. The cubic root of 8012401056 is about 2001.0328878129.

The spelling of 8012401056 in words is "eight billion, twelve million, four hundred one thousand, fifty-six".