40805200800 has 1728 divisors, whose sum is σ = 191087769600. Its totient is φ = 8128512000.

The previous prime is 40805200697. The next prime is 40805200801. The reversal of 40805200800 is 800250804.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is not an unprimeable number, because it can be changed into a prime (40805200801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 995248780 + ... + 995248820.

It is an arithmetic number, because the mean of its divisors is an integer number (110583200).

Almost surely, 2^40805200800 is an apocalyptic number.

40805200800 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 40805200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95543884800).

40805200800 is an abundant number, since it is smaller than the sum of its proper divisors (150282568800).

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

40805200800 is a wasteful number, since it uses less digits than its factorization.

40805200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 40805200800 in words is "forty billion, eight hundred five million, two hundred thousand, eight hundred".