1338466416 has 320 divisors, whose sum is σ = 4400480256. Its totient is φ = 342144000.

The previous prime is 1338466397. The next prime is 1338466421. The reversal of 1338466416 is 6146648331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8863941 + ... + 8864091.

Almost surely, 2^1338466416 is an apocalyptic number.

1338466416 is a gapful number since it is divisible by the number (16) 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 1338466416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200240128).

1338466416 is an abundant number, since it is smaller than the sum of its proper divisors (3062013840).

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

1338466416 is a wasteful number, since it uses less digits than its factorization.

1338466416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 1338466416 is about 36585.0572775279. The cubic root of 1338466416 is about 1102.0530297723.

It can be divided in two parts, 13384 and 66416, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 1338466416 in words is "one billion, three hundred thirty-eight million, four hundred sixty-six thousand, four hundred sixteen".