8012046400 has 42 divisors (see below), whose sum is σ = 19714645610. Its totient is φ = 3204817920.

The previous prime is 8012046391. The next prime is 8012046401. The reversal of 8012046400 is 46402108.

It can be written as a sum of positive squares in 3 ways, for example, as 658640896 + 7353405504 = 25664^2 + 85752^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012046401) 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 5 ways as a sum of consecutive naturals, for example, 2502165 + ... + 2505364.

Almost surely, 2^8012046400 is an apocalyptic number.

8012046400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8012046400 is an abundant number, since it is smaller than the sum of its proper divisors (11702599210).

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

8012046400 is a wasteful number, since it uses less digits than its factorization.

8012046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007551 (or 5007536 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8012046400 is about 89510.0351915918. The cubic root of 8012046400 is about 2001.0033632136.

Adding to 8012046400 its reverse (46402108), we get a palindrome (8058448508).

The spelling of 8012046400 in words is "eight billion, twelve million, forty-six thousand, four hundred".