11332224424400 has 120 divisors (see below), whose sum is σ = 29701962565824. Its totient is φ = 4120637875200.

The previous prime is 11332224424397. The next prime is 11332224424471. The reversal of 11332224424400 is 442442223311.

It is a happy number.

11332224424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11332224424400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 161431709 + ... + 161501891.

Almost surely, 2^{11332224424400} is an apocalyptic number.

11332224424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332224424400 is an abundant number, since it is smaller than the sum of its proper divisors (18369738141424).

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

11332224424400 is a wasteful number, since it uses less digits than its factorization.

11332224424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106909 (or 106898 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 11332224424400 its reverse (442442223311), we get a palindrome (11774666647711).

Subtracting from 11332224424400 its reverse (442442223311), we obtain a square (10889782201089 = 3299967²).

The spelling of 11332224424400 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty-four million, four hundred twenty-four thousand, four hundred".