11428646400 has 600 divisors, whose sum is σ = 43161646704. Its totient is φ = 2985984000.

The previous prime is 11428646377. The next prime is 11428646413. The reversal of 11428646400 is 464682411.

It is a happy number.

11428646400 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×11428646400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 75686325 + ... + 75686475.

Almost surely, 2^11428646400 is an apocalyptic number.

11428646400 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 11428646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580823352).

11428646400 is an abundant number, since it is smaller than the sum of its proper divisors (31733000304).

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

11428646400 is an equidigital number, since it uses as much as digits as its factorization.

11428646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11428646400 in words is "eleven billion, four hundred twenty-eight million, six hundred forty-six thousand, four hundred".