11441114413400 has 192 divisors, whose sum is σ = 32333310535680. Its totient is φ = 3675365222400.

The previous prime is 11441114413381. The next prime is 11441114413483. The reversal of 11441114413400 is 431441114411.

It is a congruent number.

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, 4229555 + ... + 6385245.

It is an arithmetic number, because the mean of its divisors is an integer number (168402659040).

Almost surely, 2^{11441114413400} is an apocalyptic number.

11441114413400 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 11441114413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166655267840).

11441114413400 is an abundant number, since it is smaller than the sum of its proper divisors (20892196122280).

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

11441114413400 is a wasteful number, since it uses less digits than its factorization.

11441114413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155954 (or 2155945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 11441114413400 its reverse (431441114411), we get a palindrome (11872555527811).

The spelling of 11441114413400 in words is "eleven trillion, four hundred forty-one billion, one hundred fourteen million, four hundred thirteen thousand, four hundred".