8010400000 has 432 divisors, whose sum is σ = 22993528320. Its totient is φ = 2764800000.

The previous prime is 8010399973. The next prime is 8010400009. The reversal of 8010400000 is 40108.

It is not an unprimeable number, because it can be changed into a prime (8010400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258399985 + ... + 258400015.

It is an arithmetic number, because the mean of its divisors is an integer number (53225760).

Almost surely, 2^8010400000 is an apocalyptic number.

8010400000 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 8010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496764160).

8010400000 is an abundant number, since it is smaller than the sum of its proper divisors (14983128320).

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

8010400000 is an equidigital number, since it uses as much as digits as its factorization.

8010400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8010400000 is about 89500.8379849038. The cubic root of 8010400000 is about 2000.8662913821.

Adding to 8010400000 its reverse (40108), we get a palindrome (8010440108).

The spelling of 8010400000 in words is "eight billion, ten million, four hundred thousand".