11224210430400 has 336 divisors, whose sum is σ = 40562513142528. Its totient is φ = 2694601728000.

The previous prime is 11224210430387. The next prime is 11224210430437. The reversal of 11224210430400 is 403401242211.

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, 4406460 + ... + 6470340.

Almost surely, 2^{11224210430400} is an apocalyptic number.

11224210430400 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 11224210430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281256571264).

11224210430400 is an abundant number, since it is smaller than the sum of its proper divisors (29338302712128).

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

11224210430400 is a wasteful number, since it uses less digits than its factorization.

11224210430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064020 (or 2064005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11224210430400 its reverse (403401242211), we get a palindrome (11627611672611).

The spelling of 11224210430400 in words is "eleven trillion, two hundred twenty-four billion, two hundred ten million, four hundred thirty thousand, four hundred".