4001038848 has 160 divisors (see below), whose sum is σ = 12467505600. Its totient is φ = 1263403008.

The previous prime is 4001038837. The next prime is 4001038849. The reversal of 4001038848 is 8488301004.

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 (4001038849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255040 + ... + 270272.

It is an arithmetic number, because the mean of its divisors is an integer number (77921910).

Almost surely, 2^4001038848 is an apocalyptic number.

4001038848 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 4001038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233752800).

4001038848 is an abundant number, since it is smaller than the sum of its proper divisors (8466466752).

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

4001038848 is a wasteful number, since it uses less digits than its factorization.

4001038848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15279 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4001038848 is about 63253.7654847520. The cubic root of 4001038848 is about 1587.5384624405.

The spelling of 4001038848 in words is "four billion, one million, thirty-eight thousand, eight hundred forty-eight".