802032422400 has 1440 divisors, whose sum is σ = 3291291843840. Its totient is φ = 184762368000.

The previous prime is 802032422381. The next prime is 802032422417. The reversal of 802032422400 is 4224230208.

802032422400 is a `hidden beast` number, since 80 + 20 + 324 + 2 + 240 + 0 = 666.

802032422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2234073421 + ... + 2234073779.

It is an arithmetic number, because the mean of its divisors is an integer number (2285619336).

Almost surely, 2^802032422400 is an apocalyptic number.

802032422400 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 802032422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645645921920).

802032422400 is an abundant number, since it is smaller than the sum of its proper divisors (2489259421440).

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

802032422400 is a wasteful number, since it uses less digits than its factorization.

802032422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 802032422400 its reverse (4224230208), we get a palindrome (806256652608).

The spelling of 802032422400 in words is "eight hundred two billion, thirty-two million, four hundred twenty-two thousand, four hundred".