228916981440 has 448 divisors, whose sum is σ = 926016537600. Its totient is φ = 52149215232.

The previous prime is 228916981421. The next prime is 228916981441. The reversal of 228916981440 is 44189619822.

It is a happy number.

228916981440 is a `hidden beast` number, since 2 + 28 + 91 + 6 + 98 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (228916981441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18561196 + ... + 18573524.

It is an arithmetic number, because the mean of its divisors is an integer number (2067001200).

Almost surely, 2^228916981440 is an apocalyptic number.

228916981440 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 228916981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463008268800).

228916981440 is an abundant number, since it is smaller than the sum of its proper divisors (697099556160).

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

228916981440 is a wasteful number, since it uses less digits than its factorization.

228916981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 228916981440 in words is "two hundred twenty-eight billion, nine hundred sixteen million, nine hundred eighty-one thousand, four hundred forty".