4001241000 has 256 divisors, whose sum is σ = 13176483840. Its totient is φ = 1008902400.

The previous prime is 4001240993. The next prime is 4001241007. The reversal of 4001241000 is 1421004.

It is an interprime number because it is at equal distance from previous prime (4001240993) and next prime (4001241007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4001241007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7106719 + ... + 7107281.

It is an arithmetic number, because the mean of its divisors is an integer number (51470640).

Almost surely, 2^4001241000 is an apocalyptic number.

4001241000 is a gapful number since it is divisible by the number (40) 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 4001241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588241920).

4001241000 is an abundant number, since it is smaller than the sum of its proper divisors (9175242840).

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

4001241000 is a wasteful number, since it uses less digits than its factorization.

4001241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4001241000 is about 63255.3634089632. The cubic root of 4001241000 is about 1587.5651987193.

Adding to 4001241000 its reverse (1421004), we get a palindrome (4002662004).

The spelling of 4001241000 in words is "four billion, one million, two hundred forty-one thousand".