226729994400 has 1728 divisors, whose sum is σ = 1070481484800. Its totient is φ = 45222727680.

The previous prime is 226729994363. The next prime is 226729994411. The reversal of 226729994400 is 4499927622.

226729994400 is a `hidden beast` number, since 2 + 2 + 67 + 2 + 99 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 485502967 + ... + 485503433.

It is an arithmetic number, because the mean of its divisors is an integer number (619491600).

Almost surely, 2^226729994400 is an apocalyptic number.

226729994400 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 226729994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535240742400).

226729994400 is an abundant number, since it is smaller than the sum of its proper divisors (843751490400).

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

226729994400 is a wasteful number, since it uses less digits than its factorization.

226729994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 226729994400 in words is "two hundred twenty-six billion, seven hundred twenty-nine million, nine hundred ninety-four thousand, four hundred".