414041121200 has 360 divisors, whose sum is σ = 1197549673344. Its totient is φ = 137023488000.

The previous prime is 414041121187. The next prime is 414041121211. The reversal of 414041121200 is 2121140414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350584610 + ... + 350585790.

Almost surely, 2^414041121200 is an apocalyptic number.

414041121200 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 414041121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598774836672).

414041121200 is an abundant number, since it is smaller than the sum of its proper divisors (783508552144).

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

414041121200 is a wasteful number, since it uses less digits than its factorization.

414041121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 414041121200 its reverse (2121140414), we get a palindrome (416162261614).

The spelling of 414041121200 in words is "four hundred fourteen billion, forty-one million, one hundred twenty-one thousand, two hundred".