13210414400 has 168 divisors, whose sum is σ = 35530511616. Its totient is φ = 4812595200.

The previous prime is 13210414379. The next prime is 13210414489. The reversal of 13210414400 is 441401231.

It is a super-3 number, since 3×13210414400³ (a number of 31 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 835367 + ... + 851033.

Almost surely, 2^13210414400 is an apocalyptic number.

13210414400 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 13210414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765255808).

13210414400 is an abundant number, since it is smaller than the sum of its proper divisors (22320097216).

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

13210414400 is a wasteful number, since it uses less digits than its factorization.

13210414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15737 (or 15722 counting only the distinct ones).

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

Adding to 13210414400 its reverse (441401231), we get a palindrome (13651815631).

The spelling of 13210414400 in words is "thirteen billion, two hundred ten million, four hundred fourteen thousand, four hundred".