11302140400 has 60 divisors (see below), whose sum is σ = 27259295472. Its totient is φ = 4503224320.

The previous prime is 11302140389. The next prime is 11302140403. The reversal of 11302140400 is 404120311.

11302140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302140403) 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 11 ways as a sum of consecutive naturals, for example, 47829 + ... + 157771.

Almost surely, 2^11302140400 is an apocalyptic number.

11302140400 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 11302140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629647736).

11302140400 is an abundant number, since it is smaller than the sum of its proper divisors (15957155072).

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

11302140400 is a wasteful number, since it uses less digits than its factorization.

11302140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110218 (or 110207 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11302140400 its reverse (404120311), we get a palindrome (11706260711).

The spelling of 11302140400 in words is "eleven billion, three hundred two million, one hundred forty thousand, four hundred".