11430210400 has 216 divisors, whose sum is σ = 32792494896. Its totient is φ = 3878784000.

The previous prime is 11430210397. The next prime is 11430210431. The reversal of 11430210400 is 401203411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3957757 + ... + 3960643.

It is an arithmetic number, because the mean of its divisors is an integer number (151817106).

Almost surely, 2^11430210400 is an apocalyptic number.

11430210400 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 11430210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396247448).

11430210400 is an abundant number, since it is smaller than the sum of its proper divisors (21362284496).

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

11430210400 is a wasteful number, since it uses less digits than its factorization.

11430210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11430210400 its reverse (401203411), we get a palindrome (11831413811).

The spelling of 11430210400 in words is "eleven billion, four hundred thirty million, two hundred ten thousand, four hundred".