4381125408 has 360 divisors, whose sum is σ = 14457629340. Its totient is φ = 1300147200.

The previous prime is 4381125407. The next prime is 4381125409. The reversal of 4381125408 is 8045211834.

It is an interprime number because it is at equal distance from previous prime (4381125407) and next prime (4381125409).

It can be written as a sum of positive squares in 2 ways, for example, as 4373441424 + 7683984 = 66132^2 + 2772^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4381125407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19131438 + ... + 19131666.

Almost surely, 2^4381125408 is an apocalyptic number.

4381125408 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 4381125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228814670).

4381125408 is an abundant number, since it is smaller than the sum of its proper divisors (10076503932).

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

4381125408 is a wasteful number, since it uses less digits than its factorization.

4381125408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4381125408 is about 66190.0703126987. The cubic root of 4381125408 is about 1636.2960987883.

The spelling of 4381125408 in words is "four billion, three hundred eighty-one million, one hundred twenty-five thousand, four hundred eight".