10413410000 has 100 divisors (see below), whose sum is σ = 28813801632. Its totient is φ = 3570288000.

The previous prime is 10413409997. The next prime is 10413410003. The reversal of 10413410000 is 1431401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10413409997) and next prime (10413410003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4382 + ... + 144381.

Almost surely, 2^10413410000 is an apocalyptic number.

10413410000 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 10413410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406900816).

10413410000 is an abundant number, since it is smaller than the sum of its proper divisors (18400391632).

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

10413410000 is an equidigital number, since it uses as much as digits as its factorization.

10413410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148798 (or 148777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10413410000 its reverse (1431401), we get a palindrome (10414841401).

The spelling of 10413410000 in words is "ten billion, four hundred thirteen million, four hundred ten thousand".