11430412400 has 360 divisors, whose sum is σ = 32500174320. Its totient is φ = 3829760000.

The previous prime is 11430412387. The next prime is 11430412423. The reversal of 11430412400 is 421403411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 113172350 + ... + 113172450.

It is an arithmetic number, because the mean of its divisors is an integer number (90278262).

Almost surely, 2^11430412400 is an apocalyptic number.

11430412400 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 11430412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250087160).

11430412400 is an abundant number, since it is smaller than the sum of its proper divisors (21069761920).

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

11430412400 is a wasteful number, since it uses less digits than its factorization.

11430412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11430412400 its reverse (421403411), we get a palindrome (11851815811).

The spelling of 11430412400 in words is "eleven billion, four hundred thirty million, four hundred twelve thousand, four hundred".