13410502145400 has 384 divisors, whose sum is σ = 43256091432960. Its totient is φ = 3433267200000.

The previous prime is 13410502145351. The next prime is 13410502145437. The reversal of 13410502145400 is 454120501431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1199824612 + ... + 1199835788.

It is an arithmetic number, because the mean of its divisors is an integer number (112646071440).

Almost surely, 2^{13410502145400} is an apocalyptic number.

13410502145400 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 13410502145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628045716480).

13410502145400 is an abundant number, since it is smaller than the sum of its proper divisors (29845589287560).

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

13410502145400 is a wasteful number, since it uses less digits than its factorization.

13410502145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13410502145400 its reverse (454120501431), we get a palindrome (13864622646831).

The spelling of 13410502145400 in words is "thirteen trillion, four hundred ten billion, five hundred two million, one hundred forty-five thousand, four hundred".