226976725440 has 672 divisors, whose sum is σ = 834196147200. Its totient is φ = 56524013568.

The previous prime is 226976725387. The next prime is 226976725483. The reversal of 226976725440 is 44527679622.

It is a happy number.

226976725440 is a `hidden beast` number, since 2 + 2 + 6 + 97 + 6 + 7 + 2 + 544 + 0 = 666.

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, 883177792 + ... + 883178048.

Almost surely, 2^226976725440 is an apocalyptic number.

226976725440 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 226976725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417098073600).

226976725440 is an abundant number, since it is smaller than the sum of its proper divisors (607219421760).

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

226976725440 is a wasteful number, since it uses less digits than its factorization.

226976725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 226976725440 in words is "two hundred twenty-six billion, nine hundred seventy-six million, seven hundred twenty-five thousand, four hundred forty".