13413442414400 has 336 divisors, whose sum is σ = 38409485385600. Its totient is φ = 4515097436160.

The previous prime is 13413442414387. The next prime is 13413442414447. The reversal of 13413442414400 is 441424431431.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 526644866 + ... + 526670334.

It is an arithmetic number, because the mean of its divisors is an integer number (114313944600).

Almost surely, 2^{13413442414400} is an apocalyptic number.

13413442414400 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 13413442414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19204742692800).

13413442414400 is an abundant number, since it is smaller than the sum of its proper divisors (24996042971200).

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

13413442414400 is a wasteful number, since it uses less digits than its factorization.

13413442414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26354 (or 26339 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 13413442414400 its reverse (441424431431), we get a palindrome (13854866845831).

The spelling of 13413442414400 in words is "thirteen trillion, four hundred thirteen billion, four hundred forty-two million, four hundred fourteen thousand, four hundred".