13435400000 has 336 divisors, whose sum is σ = 37716585984. Its totient is φ = 4704000000.

The previous prime is 13435399993. The next prime is 13435400029. The reversal of 13435400000 is 453431.

13435400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68199902 + ... + 68200098.

It is an arithmetic number, because the mean of its divisors is an integer number (112251744).

Almost surely, 2^13435400000 is an apocalyptic number.

13435400000 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 13435400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18858292992).

13435400000 is an abundant number, since it is smaller than the sum of its proper divisors (24281185984).

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

13435400000 is an equidigital number, since it uses as much as digits as its factorization.

13435400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13435400000 its reverse (453431), we get a palindrome (13435853431).

The spelling of 13435400000 in words is "thirteen billion, four hundred thirty-five million, four hundred thousand".