4001241024 has 224 divisors, whose sum is σ = 12914254080. Its totient is φ = 1204761600.

The previous prime is 4001241011. The next prime is 4001241037. The reversal of 4001241024 is 4201421004.

4001241024 is a `hidden beast` number, since 400 + 1 + 241 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (4001241011) and next prime (4001241037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4001240988 and 4001241006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3439867 + ... + 3441029.

It is an arithmetic number, because the mean of its divisors is an integer number (57652920).

Almost surely, 2^4001241024 is an apocalyptic number.

4001241024 is a gapful number since it is divisible by the number (44) 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 4001241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457127040).

4001241024 is an abundant number, since it is smaller than the sum of its proper divisors (8913013056).

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

4001241024 is a wasteful number, since it uses less digits than its factorization.

4001241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4001241024 is about 63255.3635986704. The cubic root of 4001241024 is about 1587.5652018935.

Adding to 4001241024 its reverse (4201421004), we get a palindrome (8202662028).

It can be divided in two parts, 4001 and 241024, that added together give a square (245025 = 495²).

The spelling of 4001241024 in words is "four billion, one million, two hundred forty-one thousand, twenty-four".