4064848273800 has 144 divisors (see below), whose sum is σ = 13654344951780. Its totient is φ = 1083703104000.

The previous prime is 4064848273799. The next prime is 4064848273879. The reversal of 4064848273800 is 83728484604.

It is a happy number.

4064848273800 is a `hidden beast` number, since 4 + 0 + 6 + 484 + 82 + 7 + 3 + 80 + 0 = 666.

4064848273800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3651072565284 + 413775708516 = 1910778^2 + 643254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7404810 + ... + 7934790.

Almost surely, 2^{4064848273800} is an apocalyptic number.

4064848273800 is a gapful number since it is divisible by the number (40) 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 4064848273800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827172475890).

4064848273800 is an abundant number, since it is smaller than the sum of its proper divisors (9589496677980).

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

4064848273800 is a wasteful number, since it uses less digits than its factorization.

4064848273800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534264 (or 534252 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4064848273800 in words is "four trillion, sixty-four billion, eight hundred forty-eight million, two hundred seventy-three thousand, eight hundred".