13043008827400 has 96 divisors (see below), whose sum is σ = 30743006819400. Its totient is φ = 5145299712000.

The previous prime is 13043008827391. The next prime is 13043008827413. The reversal of 13043008827400 is 472880034031.

13043008827400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12973665604 + 13030035161796 = 113902^2 + 3609714^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214136950 + ... + 214197850.

Almost surely, 2^{13043008827400} is an apocalyptic number.

13043008827400 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 13043008827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371503409700).

13043008827400 is an abundant number, since it is smaller than the sum of its proper divisors (17699997992000).

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

13043008827400 is a wasteful number, since it uses less digits than its factorization.

13043008827400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75659 (or 75650 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 13043008827400 in words is "thirteen trillion, forty-three billion, eight million, eight hundred twenty-seven thousand, four hundred".