226976717440 has 384 divisors, whose sum is σ = 621214272000. Its totient is φ = 79147622400.

The previous prime is 226976717381. The next prime is 226976717447. The reversal of 226976717440 is 44717679622.

226976717440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (226976717447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473855121 + ... + 473855599.

It is an arithmetic number, because the mean of its divisors is an integer number (1617745500).

Almost surely, 2^226976717440 is an apocalyptic number.

226976717440 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 226976717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310607136000).

226976717440 is an abundant number, since it is smaller than the sum of its proper divisors (394237554560).

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

226976717440 is a wasteful number, since it uses less digits than its factorization.

226976717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 55.

The spelling of 226976717440 in words is "two hundred twenty-six billion, nine hundred seventy-six million, seven hundred seventeen thousand, four hundred forty".