11100320400 has 240 divisors, whose sum is σ = 38759144256. Its totient is φ = 2699151360.

The previous prime is 11100320339. The next prime is 11100320419. The reversal of 11100320400 is 402300111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11100320400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1290514 + ... + 1299086.

Almost surely, 2^11100320400 is an apocalyptic number.

11100320400 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 11100320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19379572128).

11100320400 is an abundant number, since it is smaller than the sum of its proper divisors (27658823856).

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

11100320400 is a wasteful number, since it uses less digits than its factorization.

11100320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11100320400 its reverse (402300111), we get a palindrome (11502620511).

The spelling of 11100320400 in words is "eleven billion, one hundred million, three hundred twenty thousand, four hundred".