11400320400 has 180 divisors, whose sum is σ = 42481535472. Its totient is φ = 2605774080.

The previous prime is 11400320389. The next prime is 11400320419. The reversal of 11400320400 is 402300411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11400320400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38142 + ... + 155741.

Almost surely, 2^11400320400 is an apocalyptic number.

11400320400 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 11400320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240767736).

11400320400 is an abundant number, since it is smaller than the sum of its proper divisors (31081215072).

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

11400320400 is a wasteful number, since it uses less digits than its factorization.

11400320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193918 (or 193900 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11400320400 its reverse (402300411), we get a palindrome (11802620811).

The spelling of 11400320400 in words is "eleven billion, four hundred million, three hundred twenty thousand, four hundred".