11411201004200 has 192 divisors, whose sum is σ = 28381129920000. Its totient is φ = 4257412992000.

The previous prime is 11411201004173. The next prime is 11411201004239. The reversal of 11411201004200 is 240010211411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102610226 + ... + 102721374.

It is an arithmetic number, because the mean of its divisors is an integer number (147818385000).

Almost surely, 2^{11411201004200} is an apocalyptic number.

11411201004200 is a gapful number since it is divisible by the number (10) 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 11411201004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190564960000).

11411201004200 is an abundant number, since it is smaller than the sum of its proper divisors (16969928915800).

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

11411201004200 is a wasteful number, since it uses less digits than its factorization.

11411201004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111796 (or 111787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11411201004200 its reverse (240010211411), we get a palindrome (11651211215611).

The spelling of 11411201004200 in words is "eleven trillion, four hundred eleven billion, two hundred one million, four thousand, two hundred".