13141094400 has 936 divisors, whose sum is σ = 56736108240. Its totient is φ = 2972712960.

The previous prime is 13141094399. The next prime is 13141094429. The reversal of 13141094400 is 449014131.

13141094400 is a `hidden beast` number, since 131 + 41 + 0 + 94 + 400 = 666.

It is a super-2 number, since 2×13141094400² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135475152 + ... + 135475248.

Almost surely, 2^13141094400 is an apocalyptic number.

13141094400 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 13141094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28368054120).

13141094400 is an abundant number, since it is smaller than the sum of its proper divisors (43595013840).

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

13141094400 is an equidigital number, since it uses as much as digits as its factorization.

13141094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

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

The spelling of 13141094400 in words is "thirteen billion, one hundred forty-one million, ninety-four thousand, four hundred".