41214140200400 has 120 divisors (see below), whose sum is σ = 100953321386400. Its totient is φ = 16163686955520.

The previous prime is 41214140200399. The next prime is 41214140200421. The reversal of 41214140200400 is 400204141214.

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, 30784151 + ... + 32095049.

It is an arithmetic number, because the mean of its divisors is an integer number (841277678220).

Almost surely, 2^{41214140200400} is an apocalyptic number.

41214140200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214140200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50476660693200).

41214140200400 is an abundant number, since it is smaller than the sum of its proper divisors (59739181186000).

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

41214140200400 is a wasteful number, since it uses less digits than its factorization.

41214140200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312453 (or 1312442 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 41214140200400 its reverse (400204141214), we get a palindrome (41614344341614).

The spelling of 41214140200400 in words is "forty-one trillion, two hundred fourteen billion, one hundred forty million, two hundred thousand, four hundred".