414213403143200 has 72 divisors (see below), whose sum is σ = 1011201563090628. Its totient is φ = 165684854522880.

The previous prime is 414213403143187. The next prime is 414213403143203. The reversal of 414213403143200 is 2341304312414.

It can be written as a sum of positive squares in 6 ways, for example, as 140212785957904 + 274000617185296 = 11841148^2 + 16552964^2 .

It is a super-2 number, since 2×414213403143200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (414213403143203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368569334 + ... + 369691466.

Almost surely, 2^{414213403143200} is an apocalyptic number.

414213403143200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414213403143200 is an abundant number, since it is smaller than the sum of its proper divisors (596988159947428).

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

414213403143200 is a wasteful number, since it uses less digits than its factorization.

414213403143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583566 (or 1583553 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 414213403143200 its reverse (2341304312414), we get a palindrome (416554707455614).

The spelling of 414213403143200 in words is "four hundred fourteen trillion, two hundred thirteen billion, four hundred three million, one hundred forty-three thousand, two hundred".