11261342400 has 336 divisors, whose sum is σ = 46064789760. Its totient is φ = 2339942400.

The previous prime is 11261342381. The next prime is 11261342413. The reversal of 11261342400 is 424316211.

11261342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 354366 + ... + 384834.

Almost surely, 2^11261342400 is an apocalyptic number.

11261342400 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 11261342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23032394880).

11261342400 is an abundant number, since it is smaller than the sum of its proper divisors (34803447360).

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

11261342400 is a wasteful number, since it uses less digits than its factorization.

11261342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30512 (or 30497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11261342400 its reverse (424316211), we get a palindrome (11685658611).

The spelling of 11261342400 in words is "eleven billion, two hundred sixty-one million, three hundred forty-two thousand, four hundred".