11230424400 has 720 divisors, whose sum is σ = 42823759104. Its totient is φ = 2498396160.

The previous prime is 11230424399. The next prime is 11230424407. The reversal of 11230424400 is 442403211.

It is a super-2 number, since 2×11230424400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230424407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211894774 + ... + 211894826.

Almost surely, 2^11230424400 is an apocalyptic number.

11230424400 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 11230424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21411879552).

11230424400 is an abundant number, since it is smaller than the sum of its proper divisors (31593334704).

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

11230424400 is a wasteful number, since it uses less digits than its factorization.

11230424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11230424400 its reverse (442403211), we get a palindrome (11672827611).

The spelling of 11230424400 in words is "eleven billion, two hundred thirty million, four hundred twenty-four thousand, four hundred".