818050406400 has 1152 divisors, whose sum is σ = 3116753640000. Its totient is φ = 210213273600.

The previous prime is 818050406389. The next prime is 818050406413. The reversal of 818050406400 is 4604050818.

818050406400 is a `hidden beast` number, since 8 + 1 + 8 + 0 + 5 + 0 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×818050406400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7505049546 + ... + 7505049654.

Almost surely, 2^818050406400 is an apocalyptic number.

818050406400 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 818050406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558376820000).

818050406400 is an abundant number, since it is smaller than the sum of its proper divisors (2298703233600).

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

818050406400 is a wasteful number, since it uses less digits than its factorization.

818050406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 818050406400 in words is "eight hundred eighteen billion, fifty million, four hundred six thousand, four hundred".