4161414000 has 80 divisors (see below), whose sum is σ = 13416418080. Its totient is φ = 1109708800.

The previous prime is 4161413999. The next prime is 4161414011. The reversal of 4161414000 is 4141614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 340785 + ... + 352784.

It is an arithmetic number, because the mean of its divisors is an integer number (167705226).

Almost surely, 2^4161414000 is an apocalyptic number.

4161414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4161414000 is an abundant number, since it is smaller than the sum of its proper divisors (9255004080).

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

4161414000 is a wasteful number, since it uses less digits than its factorization.

4161414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693595 (or 693579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4161414000 is about 64509.0226247461. The cubic root of 4161414000 is about 1608.4725041469.

Adding to 4161414000 its reverse (4141614), we get a palindrome (4165555614).

The spelling of 4161414000 in words is "four billion, one hundred sixty-one million, four hundred fourteen thousand".