805541126400 has 648 divisors, whose sum is σ = 2917825137864. Its totient is φ = 212012236800.

The previous prime is 805541126371. The next prime is 805541126449. The reversal of 805541126400 is 4621145508.

It is a happy number.

805541126400 is a `hidden beast` number, since 8 + 0 + 5 + 5 + 4 + 1 + 1 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 434396991744 + 371144134656 = 659088^2 + 609216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2541139042 + ... + 2541139358.

Almost surely, 2^805541126400 is an apocalyptic number.

805541126400 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 805541126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458912568932).

805541126400 is an abundant number, since it is smaller than the sum of its proper divisors (2112284011464).

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

805541126400 is a wasteful number, since it uses less digits than its factorization.

805541126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 805541126400 in words is "eight hundred five billion, five hundred forty-one million, one hundred twenty-six thousand, four hundred".