11440434400 has 36 divisors (see below), whose sum is σ = 27928962432. Its totient is φ = 4576173440.

The previous prime is 11440434391. The next prime is 11440434407. The reversal of 11440434400 is 443404411.

It is a happy number.

11440434400 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440434407) 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 5 ways as a sum of consecutive naturals, for example, 7149472 + ... + 7151071.

It is an arithmetic number, because the mean of its divisors is an integer number (775804512).

Almost surely, 2^11440434400 is an apocalyptic number.

11440434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440434400 is an abundant number, since it is smaller than the sum of its proper divisors (16488528032).

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

11440434400 is a wasteful number, since it uses less digits than its factorization.

11440434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300563 (or 14300550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11440434400 its reverse (443404411), we get a palindrome (11883838811).

The spelling of 11440434400 in words is "eleven billion, four hundred forty million, four hundred thirty-four thousand, four hundred".