9408260600640 has 2240 divisors, whose sum is σ = 40084767866880. Its totient is φ = 2086530969600.

The previous prime is 9408260600639. The next prime is 9408260600663. The reversal of 9408260600640 is 460060628049.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20320217049 + ... + 20320217511.

Almost surely, 2^{9408260600640} is an apocalyptic number.

9408260600640 is a gapful number since it is divisible by the number (90) 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 9408260600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042383933440).

9408260600640 is an abundant number, since it is smaller than the sum of its proper divisors (30676507266240).

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

9408260600640 is a wasteful number, since it uses less digits than its factorization.

9408260600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 9408260600640 in words is "nine trillion, four hundred eight billion, two hundred sixty million, six hundred thousand, six hundred forty".