11174412121440 has 768 divisors, whose sum is σ = 39034275840000. Its totient is φ = 2674474868736.

The previous prime is 11174412121427. The next prime is 11174412121441. The reversal of 11174412121440 is 4412121447111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11174412121441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13479386946 + ... + 13479387774.

It is an arithmetic number, because the mean of its divisors is an integer number (50825880000).

Almost surely, 2^{11174412121440} is an apocalyptic number.

11174412121440 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 11174412121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517137920000).

11174412121440 is an abundant number, since it is smaller than the sum of its proper divisors (27859863718560).

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

11174412121440 is a wasteful number, since it uses less digits than its factorization.

11174412121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

Adding to 11174412121440 its reverse (4412121447111), we get a palindrome (15586533568551).

The spelling of 11174412121440 in words is "eleven trillion, one hundred seventy-four billion, four hundred twelve million, one hundred twenty-one thousand, four hundred forty".