13142404401000 has 512 divisors, whose sum is σ = 49569529651200. Its totient is φ = 2834001561600.

The previous prime is 13142404400971. The next prime is 13142404401011. The reversal of 13142404401000 is 10440424131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35072631 + ... + 35445369.

It is an arithmetic number, because the mean of its divisors is an integer number (96815487600).

Almost surely, 2^{13142404401000} is an apocalyptic number.

13142404401000 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 13142404401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784764825600).

13142404401000 is an abundant number, since it is smaller than the sum of its proper divisors (36427125250200).

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

13142404401000 is a wasteful number, since it uses less digits than its factorization.

13142404401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372866 (or 372852 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13142404401000 its reverse (10440424131), we get a palindrome (13152844825131).

The spelling of 13142404401000 in words is "thirteen trillion, one hundred forty-two billion, four hundred four million, four hundred one thousand".