11430441400 has 48 divisors (see below), whose sum is σ = 30372319440. Its totient is φ = 3919008000.

The previous prime is 11430441391. The next prime is 11430441409. The reversal of 11430441400 is 414403411.

11430441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11430441391) and next prime (11430441409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430441409) 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, 4080901 + ... + 4083700.

It is an arithmetic number, because the mean of its divisors is an integer number (632756655).

Almost surely, 2^11430441400 is an apocalyptic number.

11430441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11430441400 is an abundant number, since it is smaller than the sum of its proper divisors (18941878040).

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

11430441400 is a wasteful number, since it uses less digits than its factorization.

11430441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164624 (or 8164615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11430441400 its reverse (414403411), we get a palindrome (11844844811).

The spelling of 11430441400 in words is "eleven billion, four hundred thirty million, four hundred forty-one thousand, four hundred".