4114004420100 has 72 divisors (see below), whose sum is σ = 11949502245408. Its totient is φ = 1092799078400.

The previous prime is 4114004420089. The next prime is 4114004420159. The reversal of 4114004420100 is 10244004114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26602566 + ... + 26756765.

It is an arithmetic number, because the mean of its divisors is an integer number (165965308964).

Almost surely, 2^{4114004420100} is an apocalyptic number.

It is an amenable number.

4114004420100 is an abundant number, since it is smaller than the sum of its proper divisors (7835497825308).

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

4114004420100 is a wasteful number, since it uses less digits than its factorization.

4114004420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53359605 (or 53359598 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4114004420100 its reverse (10244004114), we get a palindrome (4124248424214).

The spelling of 4114004420100 in words is "four trillion, one hundred fourteen billion, four million, four hundred twenty thousand, one hundred".