226413440400312 has 384 divisors, whose sum is σ = 694482000076800. Its totient is φ = 66017508710400.

The previous prime is 226413440400253. The next prime is 226413440400361. The reversal of 226413440400312 is 213004044314622.

226413440400312 is a `hidden beast` number, since 2 + 2 + 641 + 3 + 4 + 4 + 0 + 4 + 0 + 0 + 3 + 1 + 2 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4055888833 + ... + 4055944655.

It is an arithmetic number, because the mean of its divisors is an integer number (1808546875200).

Almost surely, 2^{226413440400312} is an apocalyptic number.

226413440400312 is a gapful number since it is divisible by the number (22) 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 226413440400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347241000038400).

226413440400312 is an abundant number, since it is smaller than the sum of its proper divisors (468068559676488).

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

226413440400312 is a wasteful number, since it uses less digits than its factorization.

226413440400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56819 (or 56812 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 226413440400312 its reverse (213004044314622), we get a palindrome (439417484714934).

The spelling of 226413440400312 in words is "two hundred twenty-six trillion, four hundred thirteen billion, four hundred forty million, four hundred thousand, three hundred twelve".