10142563326640 has 80 divisors (see below), whose sum is σ = 23731084238400. Its totient is φ = 4031309822976.

The previous prime is 10142563326527. The next prime is 10142563326641. The reversal of 10142563326640 is 4662336524101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10142563326641) 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, 24554941 + ... + 24964579.

It is an arithmetic number, because the mean of its divisors is an integer number (296638552980).

Almost surely, 2^{10142563326640} is an apocalyptic number.

10142563326640 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 10142563326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865542119200).

10142563326640 is an abundant number, since it is smaller than the sum of its proper divisors (13588520911760).

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

10142563326640 is a wasteful number, since it uses less digits than its factorization.

10142563326640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411614 (or 411608 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 10142563326640 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, three hundred twenty-six thousand, six hundred forty".