4146556414 has 64 divisors (see below), whose sum is σ = 8434202112. Its totient is φ = 1476432000.

The previous prime is 4146556339. The next prime is 4146556417.

It is a happy number.

4146556414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146556417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 191949 + ... + 212455.

It is an arithmetic number, because the mean of its divisors is an integer number (131784408).

Almost surely, 2^4146556414 is an apocalyptic number.

4146556414 is an abundant number, since it is smaller than the sum of its proper divisors (4287645698).

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

4146556414 is a wasteful number, since it uses less digits than its factorization.

4146556414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20641.

The product of its digits is 230400, while the sum is 40.

The square root of 4146556414 is about 64393.7606760158. The cubic root of 4146556414 is about 1606.5559667784. Note that the first 3 decimals are identical.

It can be divided in two parts, 41465 and 56414, that added together give a palindrome (97879).

The spelling of 4146556414 in words is "four billion, one hundred forty-six million, five hundred fifty-six thousand, four hundred fourteen".