226410452670400 has 336 divisors, whose sum is σ = 585778582771200. Its totient is φ = 85966691430400.

The previous prime is 226410452670397. The next prime is 226410452670419. The reversal of 226410452670400 is 4076254014622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597926026 + ... + 2598013174.

It is an arithmetic number, because the mean of its divisors is an integer number (1743388639200).

Almost surely, 2^{226410452670400} is an apocalyptic number.

226410452670400 is a gapful number since it is divisible by the number (20) 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 226410452670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292889291385600).

226410452670400 is an abundant number, since it is smaller than the sum of its proper divisors (359368130100800).

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

226410452670400 is a wasteful number, since it uses less digits than its factorization.

226410452670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87732 (or 87717 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 226410452670400 in words is "two hundred twenty-six trillion, four hundred ten billion, four hundred fifty-two million, six hundred seventy thousand, four hundred".