13484612400 has 240 divisors, whose sum is σ = 49725984000. Its totient is φ = 3059758080.

The previous prime is 13484612399. The next prime is 13484612429. The reversal of 13484612400 is 421648431.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161826 + ... + 1173374.

It is an arithmetic number, because the mean of its divisors is an integer number (207191600).

Almost surely, 2^13484612400 is an apocalyptic number.

13484612400 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 13484612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862992000).

13484612400 is an abundant number, since it is smaller than the sum of its proper divisors (36241371600).

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

13484612400 is a wasteful number, since it uses less digits than its factorization.

13484612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11716 (or 11705 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 13484612400 in words is "thirteen billion, four hundred eighty-four million, six hundred twelve thousand, four hundred".