11344400000 has 192 divisors, whose sum is σ = 28685664000. Its totient is φ = 4467840000.

The previous prime is 11344399991. The next prime is 11344400047. The reversal of 11344400000 is 444311.

It is a super-2 number, since 2×11344400000² (a number of 21 digits) contains 22 as substring.

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, 31599821 + ... + 31600179.

It is an arithmetic number, because the mean of its divisors is an integer number (149404500).

Almost surely, 2^11344400000 is an apocalyptic number.

11344400000 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 11344400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832000).

11344400000 is an abundant number, since it is smaller than the sum of its proper divisors (17341264000).

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

11344400000 is an frugal number, since it uses more digits than its factorization.

11344400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 445 counting only the distinct ones).

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

Adding to 11344400000 its reverse (444311), we get a palindrome (11344844311).

The spelling of 11344400000 in words is "eleven billion, three hundred forty-four million, four hundred thousand".