10442016564640 has 96 divisors (see below), whose sum is σ = 25022883989376. Its totient is φ = 4116963486720.

The previous prime is 10442016564607. The next prime is 10442016564641. The reversal of 10442016564640 is 4646561024401.

It is a happy number.

It is a super-2 number, since 2×10442016564640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10442016564641) 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, 46839679 + ... + 47062081.

It is an arithmetic number, because the mean of its divisors is an integer number (260655041556).

Almost surely, 2^{10442016564640} is an apocalyptic number.

10442016564640 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 10442016564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511441994688).

10442016564640 is an abundant number, since it is smaller than the sum of its proper divisors (14580867424736).

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

10442016564640 is a wasteful number, since it uses less digits than its factorization.

10442016564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226622 (or 226614 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 10442016564640 in words is "ten trillion, four hundred forty-two billion, sixteen million, five hundred sixty-four thousand, six hundred forty".