13414422525400 has 384 divisors, whose sum is σ = 34727033577600. Its totient is φ = 4788150681600.

The previous prime is 13414422525389. The next prime is 13414422525403. The reversal of 13414422525400 is 452522441431.

It is a self number, because there is not a number n which added to its sum of digits gives 13414422525400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414422525403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3814164442 + ... + 3814167958.

It is an arithmetic number, because the mean of its divisors is an integer number (90434983275).

Almost surely, 2^{13414422525400} is an apocalyptic number.

13414422525400 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 13414422525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363516788800).

13414422525400 is an abundant number, since it is smaller than the sum of its proper divisors (21312611052200).

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

13414422525400 is a wasteful number, since it uses less digits than its factorization.

13414422525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 13414422525400 its reverse (452522441431), we get a palindrome (13866944966831).

The spelling of 13414422525400 in words is "thirteen trillion, four hundred fourteen billion, four hundred twenty-two million, five hundred twenty-five thousand, four hundred".