11034214400 has 360 divisors, whose sum is σ = 31204669440. Its totient is φ = 3833856000.

The previous prime is 11034214381. The next prime is 11034214423. The reversal of 11034214400 is 441243011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139673561 + ... + 139673639.

Almost surely, 2^11034214400 is an apocalyptic number.

11034214400 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 11034214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602334720).

11034214400 is an abundant number, since it is smaller than the sum of its proper divisors (20170455040).

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

11034214400 is an equidigital number, since it uses as much as digits as its factorization.

11034214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11034214400 its reverse (441243011), we get a palindrome (11475457411).

The spelling of 11034214400 in words is "eleven billion, thirty-four million, two hundred fourteen thousand, four hundred".