8012107440 has 160 divisors (see below), whose sum is σ = 28239383040. Its totient is φ = 2086850304.

The previous prime is 8012107427. The next prime is 8012107451. The reversal of 8012107440 is 447012108.

8012107440 is a `hidden beast` number, since 8 + 0 + 1 + 210 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49749 + ... + 136011.

It is an arithmetic number, because the mean of its divisors is an integer number (176496144).

Almost surely, 2^8012107440 is an apocalyptic number.

8012107440 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 8012107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119691520).

8012107440 is an abundant number, since it is smaller than the sum of its proper divisors (20227275600).

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

8012107440 is a wasteful number, since it uses less digits than its factorization.

8012107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86328 (or 86316 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8012107440 is about 89510.3761582980. The cubic root of 8012107440 is about 2001.0084447674.

Adding to 8012107440 its reverse (447012108), we get a palindrome (8459119548).

The spelling of 8012107440 in words is "eight billion, twelve million, one hundred seven thousand, four hundred forty".