13410214400 has 480 divisors, whose sum is σ = 39127245696. Its totient is φ = 4505600000.

The previous prime is 13410214381. The next prime is 13410214427. The reversal of 13410214400 is 441201431.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132774350 + ... + 132774450.

Almost surely, 2^13410214400 is an apocalyptic number.

13410214400 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 13410214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563622848).

13410214400 is an abundant number, since it is smaller than the sum of its proper divisors (25717031296).

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

13410214400 is a wasteful number, since it uses less digits than its factorization.

13410214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13410214400 its reverse (441201431), we get a palindrome (13851415831).

The spelling of 13410214400 in words is "thirteen billion, four hundred ten million, two hundred fourteen thousand, four hundred".