411205104221200 has 120 divisors (see below), whose sum is σ = 991050671856128. Its totient is φ = 163961045821440.

The previous prime is 411205104221117. The next prime is 411205104221207. The reversal of 411205104221200 is 2122401502114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (411205104221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676796749 + ... + 677404051.

Almost surely, 2^{411205104221200} is an apocalyptic number.

411205104221200 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 411205104221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495525335928064).

411205104221200 is an abundant number, since it is smaller than the sum of its proper divisors (579845567634928).

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

411205104221200 is a wasteful number, since it uses less digits than its factorization.

411205104221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612681 (or 612670 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 411205104221200 its reverse (2122401502114), we get a palindrome (413327505723314).

The spelling of 411205104221200 in words is "four hundred eleven trillion, two hundred five billion, one hundred four million, two hundred twenty-one thousand, two hundred".