226456552440 has 128 divisors (see below), whose sum is σ = 770916096000. Its totient is φ = 59103540864.

The previous prime is 226456552379. The next prime is 226456552447. The reversal of 226456552440 is 44255654622.

226456552440 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 56 + 552 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226456552447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179900 + ... + 2281419.

It is an arithmetic number, because the mean of its divisors is an integer number (6022782000).

Almost surely, 2^226456552440 is an apocalyptic number.

226456552440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226456552440 is an abundant number, since it is smaller than the sum of its proper divisors (544459543560).

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

226456552440 is a wasteful number, since it uses less digits than its factorization.

226456552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461386 (or 4461376 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 226456552440 in words is "two hundred twenty-six billion, four hundred fifty-six million, five hundred fifty-two thousand, four hundred forty".