4141123413440 has 112 divisors (see below), whose sum is σ = 10962160285440. Its totient is φ = 1479706583040.

The previous prime is 4141123413391. The next prime is 4141123413527. The reversal of 4141123413440 is 443143211414.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4141123413397 and 4141123413406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15926885 + ... + 16184804.

It is an arithmetic number, because the mean of its divisors is an integer number (97876431120).

Almost surely, 2^{4141123413440} is an apocalyptic number.

4141123413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141123413440 is an abundant number, since it is smaller than the sum of its proper divisors (6821036872000).

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

4141123413440 is a wasteful number, since it uses less digits than its factorization.

4141123413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32111750 (or 32111740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 4141123413440 its reverse (443143211414), we get a palindrome (4584266624854).

The spelling of 4141123413440 in words is "four trillion, one hundred forty-one billion, one hundred twenty-three million, four hundred thirteen thousand, four hundred forty".