4001641224 has 128 divisors (see below), whose sum is σ = 12205209600. Its totient is φ = 1067834880.

The previous prime is 4001641207. The next prime is 4001641249. The reversal of 4001641224 is 4221461004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4001641194 and 4001641203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 217804 + ... + 235460.

It is an arithmetic number, because the mean of its divisors is an integer number (95353200).

Almost surely, 2^4001641224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001641224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102604800).

4001641224 is an abundant number, since it is smaller than the sum of its proper divisors (8203568376).

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

4001641224 is a wasteful number, since it uses less digits than its factorization.

4001641224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17763 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4001641224 is about 63258.5268876853. The cubic root of 4001641224 is about 1587.6181290069.

The spelling of 4001641224 in words is "four billion, one million, six hundred forty-one thousand, two hundred twenty-four".