4141211100040 has 256 divisors, whose sum is σ = 11410398720000. Its totient is φ = 1322110218240.

The previous prime is 4141211099981. The next prime is 4141211100041. The reversal of 4141211100040 is 400011121414.

It is a junction number, because it is equal to n+sod(n) for n = 4141211099990 and 4141211100017.

It is not an unprimeable number, because it can be changed into a prime (4141211100041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73725886 + ... + 73782034.

It is an arithmetic number, because the mean of its divisors is an integer number (44571870000).

Almost surely, 2^{4141211100040} is an apocalyptic number.

4141211100040 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 4141211100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705199360000).

4141211100040 is an abundant number, since it is smaller than the sum of its proper divisors (7269187619960).

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

4141211100040 is a wasteful number, since it uses less digits than its factorization.

4141211100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56520 (or 56516 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 4141211100040 its reverse (400011121414), we get a palindrome (4541222221454).

The spelling of 4141211100040 in words is "four trillion, one hundred forty-one billion, two hundred eleven million, one hundred thousand, forty".