11341611738400 has 288 divisors, whose sum is σ = 29696119326720. Its totient is φ = 4217173632000.

The previous prime is 11341611738383. The next prime is 11341611738437. The reversal of 11341611738400 is 483711614311.

It is a super-3 number, since 3×11341611738400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 227686297 + ... + 227736103.

It is an arithmetic number, because the mean of its divisors is an integer number (103111525440).

Almost surely, 2^{11341611738400} is an apocalyptic number.

11341611738400 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 11341611738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848059663360).

11341611738400 is an abundant number, since it is smaller than the sum of its proper divisors (18354507588320).

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

11341611738400 is a wasteful number, since it uses less digits than its factorization.

11341611738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50128 (or 50115 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 11341611738400 in words is "eleven trillion, three hundred forty-one billion, six hundred eleven million, seven hundred thirty-eight thousand, four hundred".