414145143200 has 288 divisors, whose sum is σ = 1093330022400. Its totient is φ = 152679582720.

The previous prime is 414145143197. The next prime is 414145143233. The reversal of 414145143200 is 2341541414.

It is a super-2 number, since 2×414145143200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184967681 + ... + 184969919.

It is an arithmetic number, because the mean of its divisors is an integer number (3796284800).

Almost surely, 2^414145143200 is an apocalyptic number.

414145143200 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 414145143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546665011200).

414145143200 is an abundant number, since it is smaller than the sum of its proper divisors (679184879200).

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

414145143200 is a wasteful number, since it uses less digits than its factorization.

414145143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 414145143200 its reverse (2341541414), we get a palindrome (416486684614).

The spelling of 414145143200 in words is "four hundred fourteen billion, one hundred forty-five million, one hundred forty-three thousand, two hundred".