13400486400 has 240 divisors, whose sum is σ = 50592636864. Its totient is φ = 3062906880.

The previous prime is 13400486377. The next prime is 13400486441. The reversal of 13400486400 is 468400431.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 243874 + ... + 293726.

Almost surely, 2^13400486400 is an apocalyptic number.

13400486400 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 13400486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296318432).

13400486400 is an abundant number, since it is smaller than the sum of its proper divisors (37192150464).

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

13400486400 is an equidigital number, since it uses as much as digits as its factorization.

13400486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49891 (or 49870 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13400486400 its reverse (468400431), we get a palindrome (13868886831).

The spelling of 13400486400 in words is "thirteen billion, four hundred million, four hundred eighty-six thousand, four hundred".