10413110342000 has 80 divisors (see below), whose sum is σ = 25199066100000. Its totient is φ = 4161908275200.

The previous prime is 10413110341967. The next prime is 10413110342003. The reversal of 10413110342000 is 24301131401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413110342003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413711 + ... + 4582289.

It is an arithmetic number, because the mean of its divisors is an integer number (314988326250).

Almost surely, 2^{10413110342000} is an apocalyptic number.

10413110342000 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 10413110342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599533050000).

10413110342000 is an abundant number, since it is smaller than the sum of its proper divisors (14785955758000).

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

10413110342000 is a wasteful number, since it uses less digits than its factorization.

10413110342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169851 (or 4169835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10413110342000 its reverse (24301131401), we get a palindrome (10437411473401).

The spelling of 10413110342000 in words is "ten trillion, four hundred thirteen billion, one hundred ten million, three hundred forty-two thousand".