11034022400 has 60 divisors (see below), whose sum is σ = 27337684242. Its totient is φ = 4413603840.

The previous prime is 11034022339. The next prime is 11034022409. The reversal of 11034022400 is 422043011.

It can be written as a sum of positive squares in 3 ways, for example, as 10607352064 + 426670336 = 102992^2 + 20656^2 .

It is not an unprimeable number, because it can be changed into a prime (11034022409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418217 + ... + 443816.

Almost surely, 2^11034022400 is an apocalyptic number.

11034022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034022400 is an abundant number, since it is smaller than the sum of its proper divisors (16303661842).

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

11034022400 is an frugal number, since it uses more digits than its factorization.

11034022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862061 (or 862040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 11034022400 its reverse (422043011), we get a palindrome (11456065411).

The spelling of 11034022400 in words is "eleven billion, thirty-four million, twenty-two thousand, four hundred".