228507242040 has 576 divisors, whose sum is σ = 967968368640. Its totient is φ = 45414673920.

The previous prime is 228507242023. The next prime is 228507242053. The reversal of 228507242040 is 40242705822.

228507242040 is a `hidden beast` number, since 228 + 5 + 0 + 7 + 2 + 420 + 4 + 0 = 666.

228507242040 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 228507241986 and 228507242004.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 14656089 + ... + 14671671.

It is an arithmetic number, because the mean of its divisors is an integer number (1680500640).

Almost surely, 2^228507242040 is an apocalyptic number.

228507242040 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 228507242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483984184320).

228507242040 is an abundant number, since it is smaller than the sum of its proper divisors (739461126600).

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

228507242040 is a wasteful number, since it uses less digits than its factorization.

228507242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 228507242040 its reverse (40242705822), we get a palindrome (268749947862).

The spelling of 228507242040 in words is "two hundred twenty-eight billion, five hundred seven million, two hundred forty-two thousand, forty".