41200400400214 has 32 divisors (see below), whose sum is σ = 67664375229600. Its totient is φ = 18659253968640.

The previous prime is 41200400400209. The next prime is 41200400400253.

41200400400214 is nontrivially palindromic in base 10.

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

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, 233488732 + ... + 233665120.

It is an arithmetic number, because the mean of its divisors is an integer number (2114511725925).

Almost surely, 2^{41200400400214} is an apocalyptic number.

41200400400214 is a deficient number, since it is larger than the sum of its proper divisors (26463974829386).

41200400400214 is a wasteful number, since it uses less digits than its factorization.

41200400400214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215008.

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

It can be divided in two parts, 41200400 and 400214, that added together give a palindrome (41600614).

The spelling of 41200400400214 in words is "forty-one trillion, two hundred billion, four hundred million, four hundred thousand, two hundred fourteen".