41200400214 has 48 divisors (see below), whose sum is σ = 89630180640. Its totient is φ = 13677776640.

The previous prime is 41200400159. The next prime is 41200400221.

41200400214 is a `hidden beast` number, since 41 + 200 + 400 + 21 + 4 = 666.

41200400214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5689404 + ... + 5696640.

It is an arithmetic number, because the mean of its divisors is an integer number (1867295430).

Almost surely, 2^41200400214 is an apocalyptic number.

41200400214 is an abundant number, since it is smaller than the sum of its proper divisors (48429780426).

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

41200400214 is a wasteful number, since it uses less digits than its factorization.

41200400214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 41200400214 in words is "forty-one billion, two hundred million, four hundred thousand, two hundred fourteen".