11406216000 has 224 divisors, whose sum is σ = 37772766720. Its totient is φ = 3032832000.

The previous prime is 11406215993. The next prime is 11406216001. The reversal of 11406216000 is 61260411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406216001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15863641 + ... + 15864359.

Almost surely, 2^11406216000 is an apocalyptic number.

11406216000 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 11406216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18886383360).

11406216000 is an abundant number, since it is smaller than the sum of its proper divisors (26366550720).

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

11406216000 is an equidigital number, since it uses as much as digits as its factorization.

11406216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11406216000 its reverse (61260411), we get a palindrome (11467476411).

The spelling of 11406216000 in words is "eleven billion, four hundred six million, two hundred sixteen thousand".