800200041984 has 1120 divisors, whose sum is σ = 2898216288000. Its totient is φ = 215791091712.

The previous prime is 800200041983. The next prime is 800200041989. The reversal of 800200041984 is 489140002008.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800200041983) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4470391207 + ... + 4470391385.

Almost surely, 2^800200041984 is an apocalyptic number.

800200041984 is a gapful number since it is divisible by the number (84) 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 800200041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449108144000).

800200041984 is an abundant number, since it is smaller than the sum of its proper divisors (2098016246016).

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

800200041984 is an equidigital number, since it uses as much as digits as its factorization.

800200041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 800200041984 in words is "eight hundred billion, two hundred million, forty-one thousand, nine hundred eighty-four".