11405243200 has 336 divisors, whose sum is σ = 31370960880. Its totient is φ = 4055040000.

The previous prime is 11405243141. The next prime is 11405243209. The reversal of 11405243200 is 234250411.

It can be written as a sum of positive squares in 24 ways, for example, as 10574420224 + 830822976 = 102832^2 + 28824^2 .

It is a super-2 number, since 2×11405243200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405243209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112923150 + ... + 112923250.

It is an arithmetic number, because the mean of its divisors is an integer number (93365955).

Almost surely, 2^11405243200 is an apocalyptic number.

11405243200 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 11405243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685480440).

11405243200 is an abundant number, since it is smaller than the sum of its proper divisors (19965717680).

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

11405243200 is a wasteful number, since it uses less digits than its factorization.

11405243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 11405243200 its reverse (234250411), we get a palindrome (11639493611).

The spelling of 11405243200 in words is "eleven billion, four hundred five million, two hundred forty-three thousand, two hundred".