11334422400 has 384 divisors, whose sum is σ = 42987010560. Its totient is φ = 2571264000.

The previous prime is 11334422377. The next prime is 11334422413. The reversal of 11334422400 is 422443311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11334422400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10146642 + ... + 10147758.

It is an arithmetic number, because the mean of its divisors is an integer number (111945340).

Almost surely, 2^11334422400 is an apocalyptic number.

11334422400 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 11334422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21493505280).

11334422400 is an abundant number, since it is smaller than the sum of its proper divisors (31652588160).

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

11334422400 is a wasteful number, since it uses less digits than its factorization.

11334422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11334422400 its reverse (422443311), we get a palindrome (11756865711).

The spelling of 11334422400 in words is "eleven billion, three hundred thirty-four million, four hundred twenty-two thousand, four hundred".