226032710400 has 324 divisors, whose sum is σ = 923565023472. Its totient is φ = 51664527360.

The previous prime is 226032710399. The next prime is 226032710461. The reversal of 226032710400 is 4017230622.

226032710400 is a `hidden beast` number, since 2 + 2 + 603 + 2 + 7 + 10 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122902 + ... + 683498.

Almost surely, 2^226032710400 is an apocalyptic number.

226032710400 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 226032710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461782511736).

226032710400 is an abundant number, since it is smaller than the sum of its proper divisors (697532313072).

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

226032710400 is a wasteful number, since it uses less digits than its factorization.

226032710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560636 (or 560614 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 226032710400 in words is "two hundred twenty-six billion, thirty-two million, seven hundred ten thousand, four hundred".