4041624252224 has 224 divisors, whose sum is σ = 9225562139136. Its totient is φ = 1740244746240.

The previous prime is 4041624252221. The next prime is 4041624252227. The reversal of 4041624252224 is 4222524261404.

4041624252224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4041624252221) and next prime (4041624252227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041624252221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028139539 + ... + 1028143469.

It is an arithmetic number, because the mean of its divisors is an integer number (41185545264).

Almost surely, 2^{4041624252224} 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 4041624252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612781069568).

4041624252224 is an abundant number, since it is smaller than the sum of its proper divisors (5183937886912).

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

4041624252224 is a wasteful number, since it uses less digits than its factorization.

4041624252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 4041624252224 in words is "four trillion, forty-one billion, six hundred twenty-four million, two hundred fifty-two thousand, two hundred twenty-four".