226800040824 has 320 divisors, whose sum is σ = 769615292160. Its totient is φ = 60916147200.

The previous prime is 226800040813. The next prime is 226800040837. The reversal of 226800040824 is 428040008622.

It is a happy number.

226800040824 is a `hidden beast` number, since 226 + 8 + 0 + 0 + 0 + 408 + 24 = 666.

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

226800040824 is a modest number, since divided by 40824 gives 22680 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111888499 + ... + 111890525.

It is an arithmetic number, because the mean of its divisors is an integer number (2405047788).

Almost surely, 2^226800040824 is an apocalyptic number.

226800040824 is a gapful number since it is divisible by the number (24) 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 226800040824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384807646080).

226800040824 is an abundant number, since it is smaller than the sum of its proper divisors (542815251336).

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

226800040824 is a wasteful number, since it uses less digits than its factorization.

226800040824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 226800040824 in words is "two hundred twenty-six billion, eight hundred million, forty thousand, eight hundred twenty-four".