11454414400 has 252 divisors, whose sum is σ = 33303051504. Its totient is φ = 3843840000.

The previous prime is 11454414397. The next prime is 11454414457. The reversal of 11454414400 is 441445411.

11454414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2972475 + ... + 2976325.

Almost surely, 2^11454414400 is an apocalyptic number.

11454414400 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 11454414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651525752).

11454414400 is an abundant number, since it is smaller than the sum of its proper divisors (21848637104).

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

11454414400 is a wasteful number, since it uses less digits than its factorization.

11454414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 11454414400 its reverse (441445411), we get a palindrome (11895859811).

The spelling of 11454414400 in words is "eleven billion, four hundred fifty-four million, four hundred fourteen thousand, four hundred".