11241634529280 has 288 divisors, whose sum is σ = 36042305310144. Its totient is φ = 2992002564096.

The previous prime is 11241634529221. The next prime is 11241634529299. The reversal of 11241634529280 is 8292543614211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075440534 + ... + 1075450986.

It is an arithmetic number, because the mean of its divisors is an integer number (125146893438).

Almost surely, 2^{11241634529280} is an apocalyptic number.

11241634529280 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 11241634529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021152655072).

11241634529280 is an abundant number, since it is smaller than the sum of its proper divisors (24800670780864).

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

11241634529280 is an frugal number, since it uses more digits than its factorization.

11241634529280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 11241634529280 in words is "eleven trillion, two hundred forty-one billion, six hundred thirty-four million, five hundred twenty-nine thousand, two hundred eighty".