11241434204000 has 384 divisors, whose sum is σ = 37084482699264. Its totient is φ = 3234297600000.

The previous prime is 11241434203999. The next prime is 11241434204057. The reversal of 11241434204000 is 40243414211.

It is a super-2 number, since 2×11241434204000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600225 + ... + 5407775.

It is an arithmetic number, because the mean of its divisors is an integer number (96574173696).

Almost surely, 2^{11241434204000} is an apocalyptic number.

11241434204000 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 11241434204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542241349632).

11241434204000 is an abundant number, since it is smaller than the sum of its proper divisors (25843048495264).

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

11241434204000 is a wasteful number, since it uses less digits than its factorization.

11241434204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807607 (or 2807589 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11241434204000 its reverse (40243414211), we get a palindrome (11281677618211).

The spelling of 11241434204000 in words is "eleven trillion, two hundred forty-one billion, four hundred thirty-four million, two hundred four thousand".