11303942400 has 243 divisors, whose sum is σ = 40505579569. Its totient is φ = 3007580160.

The previous prime is 11303942389. The next prime is 11303942407. The reversal of 11303942400 is 424930311.

The square root of 11303942400 is 106320.

It is a perfect power (a square), and thus also a powerful number.

11303942400 is a `hidden beast` number, since 1 + 1 + 30 + 394 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4069419264 + 7234523136 = 63792^2 + 85056^2 .

It is a super-3 number, since 3×11303942400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11303942407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25516579 + ... + 25517021.

Almost surely, 2^11303942400 is an apocalyptic number.

11303942400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11303942400 is the 106320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11303942400

11303942400 is an abundant number, since it is smaller than the sum of its proper divisors (29201637169).

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

11303942400 is an frugal number, since it uses more digits than its factorization.

11303942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11303942400 in words is "eleven billion, three hundred three million, nine hundred forty-two thousand, four hundred".