1134220430400 has 168 divisors, whose sum is σ = 3722594759520. Its totient is φ = 302344458240.

The previous prime is 1134220430377. The next prime is 1134220430449. The reversal of 1134220430400 is 40340224311.

It is a super-2 number, since 2×1134220430400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13055907 + ... + 13142493.

It is an arithmetic number, because the mean of its divisors is an integer number (22158302140).

Almost surely, 2^{1134220430400} is an apocalyptic number.

1134220430400 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 1134220430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861297379760).

1134220430400 is an abundant number, since it is smaller than the sum of its proper divisors (2588374329120).

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

1134220430400 is a wasteful number, since it uses less digits than its factorization.

1134220430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89341 (or 89326 counting only the distinct ones).

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

Adding to 1134220430400 its reverse (40340224311), we get a palindrome (1174560654711).

The spelling of 1134220430400 in words is "one trillion, one hundred thirty-four billion, two hundred twenty million, four hundred thirty thousand, four hundred".