4118981328 has 240 divisors, whose sum is σ = 14853354880. Its totient is φ = 1069770240.

The previous prime is 4118981281. The next prime is 4118981333. The reversal of 4118981328 is 8231898114.

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 47 ways as a sum of consecutive naturals, for example, 360276 + ... + 371532.

Almost surely, 2^4118981328 is an apocalyptic number.

4118981328 is a gapful number since it is divisible by the number (48) 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 4118981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426677440).

4118981328 is an abundant number, since it is smaller than the sum of its proper divisors (10734373552).

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

4118981328 is a wasteful number, since it uses less digits than its factorization.

4118981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11280 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 4118981328 is about 64179.2904915597. The cubic root of 4118981328 is about 1602.9867814078.

The spelling of 4118981328 in words is "four billion, one hundred eighteen million, nine hundred eighty-one thousand, three hundred twenty-eight".