4141012281819 has 96 divisors (see below), whose sum is σ = 6947230187520. Its totient is φ = 2181219163200.

The previous prime is 4141012281799. The next prime is 4141012281821. The reversal of 4141012281819 is 9181822101414.

It is not a de Polignac number, because 4141012281819 - 2²⁰ = 4141011233243 is a prime.

It is a super-2 number, since 2×4141012281819² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4141012281719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24967174 + ... + 25132484.

It is an arithmetic number, because the mean of its divisors is an integer number (72366981120).

Almost surely, 2^{4141012281819} is an apocalyptic number.

4141012281819 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4141012281819 is a deficient number, since it is larger than the sum of its proper divisors (2806217905701).

4141012281819 is a wasteful number, since it uses less digits than its factorization.

4141012281819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165621 (or 165614 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 4141012281819 in words is "four trillion, one hundred forty-one billion, twelve million, two hundred eighty-one thousand, eight hundred nineteen".