11241457200 has 90 divisors (see below), whose sum is σ = 39010991604. Its totient is φ = 2997720960.

The previous prime is 11241457147. The next prime is 11241457211. The reversal of 11241457200 is 275414211.

11241457200 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 457 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 1557714 + ... + 1564913.

Almost surely, 2^11241457200 is an apocalyptic number.

11241457200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241457200 is an abundant number, since it is smaller than the sum of its proper divisors (27769534404).

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

11241457200 is a wasteful number, since it uses less digits than its factorization.

11241457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122651 (or 3122637 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11241457200 in words is "eleven billion, two hundred forty-one million, four hundred fifty-seven thousand, two hundred".