10601322493440 has 640 divisors, whose sum is σ = 40819770224640. Its totient is φ = 2292893319168.

The previous prime is 10601322493409. The next prime is 10601322493441. The reversal of 10601322493440 is 4439422310601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10601322493440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10601322493441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 926440359 + ... + 926451801.

It is an arithmetic number, because the mean of its divisors is an integer number (63780890976).

Almost surely, 2^{10601322493440} is an apocalyptic number.

10601322493440 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 10601322493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409885112320).

10601322493440 is an abundant number, since it is smaller than the sum of its proper divisors (30218447731200).

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

10601322493440 is a wasteful number, since it uses less digits than its factorization.

10601322493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12402 (or 12386 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10601322493440 in words is "ten trillion, six hundred one billion, three hundred twenty-two million, four hundred ninety-three thousand, four hundred forty".