11011402400400 has 270 divisors, whose sum is σ = 38678652143378. Its totient is φ = 2900989440000.

The previous prime is 11011402400393. The next prime is 11011402400407. The reversal of 11011402400400 is 400420411011.

11011402400400 is a `hidden beast` number, since 1 + 10 + 1 + 14 + 0 + 240 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (11011402400393) and next prime (11011402400407).

It can be written as a sum of positive squares in 3 ways, for example, as 149342056704 + 10862060343696 = 386448^2 + 3295764^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11011402400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24578400 + ... + 25022400.

Almost surely, 2^{11011402400400} is an apocalyptic number.

11011402400400 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 11011402400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339326071689).

11011402400400 is an abundant number, since it is smaller than the sum of its proper divisors (27667249742978).

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

11011402400400 is a wasteful number, since it uses less digits than its factorization.

11011402400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444191 (or 444094 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11011402400400 its reverse (400420411011), we get a palindrome (11411822811411).

The spelling of 11011402400400 in words is "eleven trillion, eleven billion, four hundred two million, four hundred thousand, four hundred".