11430223140400 has 480 divisors, whose sum is σ = 30193617484800. Its totient is φ = 4143320294400.

The previous prime is 11430223140337. The next prime is 11430223140409. The reversal of 11430223140400 is 404132203411.

It is a super-2 number, since 2×11430223140400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11430223140409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5919327435 + ... + 5919329365.

It is an arithmetic number, because the mean of its divisors is an integer number (62903369760).

Almost surely, 2^{11430223140400} is an apocalyptic number.

11430223140400 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 11430223140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096808742400).

11430223140400 is an abundant number, since it is smaller than the sum of its proper divisors (18763394344400).

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

11430223140400 is a wasteful number, since it uses less digits than its factorization.

11430223140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11430223140400 its reverse (404132203411), we get a palindrome (11834355343811).

The spelling of 11430223140400 in words is "eleven trillion, four hundred thirty billion, two hundred twenty-three million, one hundred forty thousand, four hundred".