11341121000400 has 360 divisors, whose sum is σ = 40414502297624. Its totient is φ = 2944047513600.

The previous prime is 11341121000369. The next prime is 11341121000413. The reversal of 11341121000400 is 400012114311.

11341121000400 is a `hidden beast` number, since 1 + 1 + 3 + 411 + 210 + 0 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4663837606464 + 6677283393936 = 2159592^2 + 2584044^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21034992 + ... + 21567408.

Almost surely, 2^{11341121000400} is an apocalyptic number.

11341121000400 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 11341121000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20207251148812).

11341121000400 is an abundant number, since it is smaller than the sum of its proper divisors (29073381297224).

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

11341121000400 is a wasteful number, since it uses less digits than its factorization.

11341121000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532599 (or 532585 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11341121000400 its reverse (400012114311), we get a palindrome (11741133114711).

The spelling of 11341121000400 in words is "eleven trillion, three hundred forty-one billion, one hundred twenty-one million, four hundred", and thus it is an aban number.