200414414002 has 32 divisors (see below), whose sum is σ = 346332672000. Its totient is φ = 86086843920.

The previous prime is 200414413981. The next prime is 200414414021.

200414414002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2344002 + ... + 2427997.

It is an arithmetic number, because the mean of its divisors is an integer number (10822896000).

Almost surely, 2^200414414002 is an apocalyptic number.

200414414002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200414414002 is a deficient number, since it is larger than the sum of its proper divisors (145918257998).

200414414002 is a wasteful number, since it uses less digits than its factorization.

200414414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772118.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 200414 and 414002, that added together give a palindrome (614416).

The spelling of 200414414002 in words is "two hundred billion, four hundred fourteen million, four hundred fourteen thousand, two".