4538226240 has 336 divisors, whose sum is σ = 16409090880. Its totient is φ = 1149603840.

The previous prime is 4538226223. The next prime is 4538226241. The reversal of 4538226240 is 426228354.

4538226240 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 22 + 624 + 0 = 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 = 4538226195 and 4538226204.

It is not an unprimeable number, because it can be changed into a prime (4538226241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5595435 + ... + 5596245.

It is an arithmetic number, because the mean of its divisors is an integer number (48836580).

Almost surely, 2^4538226240 is an apocalyptic number.

4538226240 is a gapful number since it is divisible by the number (40) 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 4538226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204545440).

4538226240 is an abundant number, since it is smaller than the sum of its proper divisors (11870864640).

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

4538226240 is a wasteful number, since it uses less digits than its factorization.

4538226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4538226240 is about 67366.3583697382. The cubic root of 4538226240 is about 1655.6252740302.

The spelling of 4538226240 in words is "four billion, five hundred thirty-eight million, two hundred twenty-six thousand, two hundred forty".