13244631400 has 432 divisors, whose sum is σ = 42373225440. Its totient is φ = 3805401600.

The previous prime is 13244631391. The next prime is 13244631401. The reversal of 13244631400 is 413644231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13244631401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18217837 + ... + 18218563.

It is an arithmetic number, because the mean of its divisors is an integer number (98086170).

Almost surely, 2^13244631400 is an apocalyptic number.

13244631400 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 13244631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186612720).

13244631400 is an abundant number, since it is smaller than the sum of its proper divisors (29128594040).

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

13244631400 is a wasteful number, since it uses less digits than its factorization.

13244631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 13244631400 in words is "thirteen billion, two hundred forty-four million, six hundred thirty-one thousand, four hundred".