228520081440 has 768 divisors, whose sum is σ = 929592115200. Its totient is φ = 51355938816.

The previous prime is 228520081409. The next prime is 228520081451. The reversal of 228520081440 is 44180025822.

228520081440 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 200 + 8 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228520081395 and 228520081404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602955171 + ... + 602955549.

It is an arithmetic number, because the mean of its divisors is an integer number (1210406400).

Almost surely, 2^228520081440 is an apocalyptic number.

228520081440 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 228520081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464796057600).

228520081440 is an abundant number, since it is smaller than the sum of its proper divisors (701072033760).

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

228520081440 is a wasteful number, since it uses less digits than its factorization.

228520081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 228520081440 in words is "two hundred twenty-eight billion, five hundred twenty million, eighty-one thousand, four hundred forty".