13241491200 has 1080 divisors, whose sum is σ = 57962852640. Its totient is φ = 2919628800.

The previous prime is 13241491141. The next prime is 13241491261. The reversal of 13241491200 is 219414231.

It is a happy number.

13241491200 is a `hidden beast` number, since 132 + 41 + 491 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148780756 + ... + 148780844.

It is an arithmetic number, because the mean of its divisors is an integer number (53669308).

Almost surely, 2^13241491200 is an apocalyptic number.

13241491200 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 13241491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981426320).

13241491200 is an abundant number, since it is smaller than the sum of its proper divisors (44721361440).

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

13241491200 is an equidigital number, since it uses as much as digits as its factorization.

13241491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13241491200 in words is "thirteen billion, two hundred forty-one million, four hundred ninety-one thousand, two hundred".