4141432440000 has 420 divisors, whose sum is σ = 15478556663856. Its totient is φ = 1056363264000.

The previous prime is 4141432439981. The next prime is 4141432440073. The reversal of 4141432440000 is 442341414.

4141432440000 is a `hidden beast` number, since 4 + 1 + 414 + 3 + 244 + 0 + 0 + 0 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 8029914 + ... + 8530086.

Almost surely, 2^{4141432440000} is an apocalyptic number.

4141432440000 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 4141432440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739278331928).

4141432440000 is an abundant number, since it is smaller than the sum of its proper divisors (11337124223856).

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

4141432440000 is a wasteful number, since it uses less digits than its factorization.

4141432440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500234 (or 500206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4141432440000 its reverse (442341414), we get a palindrome (4141874781414).

The spelling of 4141432440000 in words is "four trillion, one hundred forty-one billion, four hundred thirty-two million, four hundred forty thousand".