11126030400 has 315 divisors, whose sum is σ = 41036543911. Its totient is φ = 2956815360.

The previous prime is 11126030389. The next prime is 11126030411. The reversal of 11126030400 is 403062111.

It is a happy number.

The square root of 11126030400 is 105480.

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

11126030400 is a `hidden beast` number, since 1 + 1 + 1 + 260 + 3 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (11126030389) and next prime (11126030411).

It can be written as a sum of positive squares in 4 ways, for example, as 1761984576 + 9364045824 = 41976^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37972654 + ... + 37972946.

Almost surely, 2^11126030400 is an apocalyptic number.

11126030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11126030400 is the 105480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126030400

11126030400 is an abundant number, since it is smaller than the sum of its proper divisors (29910513511).

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

11126030400 is an frugal number, since it uses more digits than its factorization.

11126030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 11126030400 by its product of nonzero digits (144), we get a square (1602148377600 = 1265760²).

11126030400 divided by its product of nonzero digits (144) gives a square (77264100 = 8790²).

Adding to 11126030400 its reverse (403062111), we get a palindrome (11529092511).

The spelling of 11126030400 in words is "eleven billion, one hundred twenty-six million, thirty thousand, four hundred".