4141883289600 has 2808 divisors, whose sum is σ = 18544602236160. Its totient is φ = 912994467840.

The previous prime is 4141883289571. The next prime is 4141883289617. The reversal of 4141883289600 is 69823881414.

It is a happy number.

4141883289600 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 8 + 8 + 3 + 28 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 52428902361 + ... + 52428902439.

Almost surely, 2^{4141883289600} is an apocalyptic number.

4141883289600 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 4141883289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272301118080).

4141883289600 is an abundant number, since it is smaller than the sum of its proper divisors (14402718946560).

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

4141883289600 is an equidigital number, since it uses as much as digits as its factorization.

4141883289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 4141883289600 in words is "four trillion, one hundred forty-one billion, eight hundred eighty-three million, two hundred eighty-nine thousand, six hundred".