9641410000 has 100 divisors (see below), whose sum is σ = 23390537632. Its totient is φ = 3848688000.

The previous prime is 9641409949. The next prime is 9641410007. The reversal of 9641410000 is 141469.

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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9641410007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9069469 + ... + 9070531.

Almost surely, 2^9641410000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9641410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695268816).

9641410000 is an abundant number, since it is smaller than the sum of its proper divisors (13749127632).

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

9641410000 is a wasteful number, since it uses less digits than its factorization.

9641410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 9641410000 is about 98190.6818389607. The cubic root of 9641410000 is about 2128.3686363178.

Adding to 9641410000 its reverse (141469), we get a palindrome (9641551469).

The spelling of 9641410000 in words is "nine billion, six hundred forty-one million, four hundred ten thousand".