13189241400 has 192 divisors, whose sum is σ = 44428108800. Its totient is φ = 3224448000.

The previous prime is 13189241363. The next prime is 13189241407. The reversal of 13189241400 is 414298131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13189241407) 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, 334740 + ... + 372060.

It is an arithmetic number, because the mean of its divisors is an integer number (231396400).

Almost surely, 2^13189241400 is an apocalyptic number.

13189241400 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 13189241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22214054400).

13189241400 is an abundant number, since it is smaller than the sum of its proper divisors (31238867400).

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

13189241400 is a wasteful number, since it uses less digits than its factorization.

13189241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37390 (or 37381 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 13189241400 in words is "thirteen billion, one hundred eighty-nine million, two hundred forty-one thousand, four hundred".