414044201224000 has 112 divisors (see below), whose sum is σ = 1025389530599616. Its totient is φ = 165616216128000.

The previous prime is 414044201223853. The next prime is 414044201224009. The reversal of 414044201224000 is 422102440414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414044201224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414044201224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634841379 + ... + 1635094621.

It is an arithmetic number, because the mean of its divisors is an integer number (9155263666068).

Almost surely, 2^{414044201224000} is an apocalyptic number.

414044201224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414044201224000 is an abundant number, since it is smaller than the sum of its proper divisors (611345329375616).

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

414044201224000 is a wasteful number, since it uses less digits than its factorization.

414044201224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457641 (or 457621 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 414044201224000 its reverse (422102440414), we get a palindrome (414466303664414).

The spelling of 414044201224000 in words is "four hundred fourteen trillion, forty-four billion, two hundred one million, two hundred twenty-four thousand".