414120000021414 has 32 divisors (see below), whose sum is σ = 836442554081760. Its totient is φ = 136672914720000.

The previous prime is 414120000021347. The next prime is 414120000021457.

414120000021414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348079764 + ... + 349267464.

It is an arithmetic number, because the mean of its divisors is an integer number (26138829815055).

Almost surely, 2^{414120000021414} is an apocalyptic number.

414120000021414 is an abundant number, since it is smaller than the sum of its proper divisors (422322554060346).

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

414120000021414 is a wasteful number, since it uses less digits than its factorization.

414120000021414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763176.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4141200000 and 21414, that added together give a palindrome (4141221414).

The spelling of 414120000021414 in words is "four hundred fourteen trillion, one hundred twenty billion, twenty-one thousand, four hundred fourteen".