4141441004220 has 192 divisors, whose sum is σ = 13884488970240. Its totient is φ = 1018778363136.

The previous prime is 4141441004203. The next prime is 4141441004329. The reversal of 4141441004220 is 224001441414.

It is a happy number.

4141441004220 is a `hidden beast` number, since 4 + 14 + 14 + 410 + 0 + 4 + 220 = 666.

It is a super-4 number, since 4×4141441004220⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10812099 + ... + 11188581.

It is an arithmetic number, because the mean of its divisors is an integer number (72315046720).

Almost surely, 2^{4141441004220} 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 4141441004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942244485120).

4141441004220 is an abundant number, since it is smaller than the sum of its proper divisors (9743047966020).

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

4141441004220 is a wasteful number, since it uses less digits than its factorization.

4141441004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378081 (or 378073 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4141441004220 its reverse (224001441414), we get a palindrome (4365442445634).

The spelling of 4141441004220 in words is "four trillion, one hundred forty-one billion, four hundred forty-one million, four thousand, two hundred twenty".