1438066224 has 360 divisors, whose sum is σ = 5076381440. Its totient is φ = 385471872.

The previous prime is 1438066213. The next prime is 1438066247. The reversal of 1438066224 is 4226608341.

It is a super-3 number, since 3×1438066224³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13961757 + ... + 13961859.

Almost surely, 2^1438066224 is an apocalyptic number.

1438066224 is a gapful number since it is divisible by the number (14) 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 1438066224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538190720).

1438066224 is an abundant number, since it is smaller than the sum of its proper divisors (3638315216).

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

1438066224 is an equidigital number, since it uses as much as digits as its factorization.

1438066224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1438066224 is about 37921.8436260686. The cubic root of 1438066224 is about 1128.7375213022.

The spelling of 1438066224 in words is "one billion, four hundred thirty-eight million, sixty-six thousand, two hundred twenty-four".