10145040041016 has 96 divisors (see below), whose sum is σ = 27795893158800. Its totient is φ = 3342357173760.

The previous prime is 10145040040987. The next prime is 10145040041021. The reversal of 10145040041016 is 61014004054101.

10145040041016 is a `hidden beast` number, since 10 + 145 + 0 + 400 + 4 + 101 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15905890 + ... + 16531406.

Almost surely, 2^{10145040041016} 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 10145040041016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897946579400).

10145040041016 is an abundant number, since it is smaller than the sum of its proper divisors (17650853117784).

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

10145040041016 is a wasteful number, since it uses less digits than its factorization.

10145040041016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628149 (or 628142 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10145040041016 its reverse (61014004054101), we get a palindrome (71159044095117).

The spelling of 10145040041016 in words is "ten trillion, one hundred forty-five billion, forty million, forty-one thousand, sixteen".