4010241021696 has 1296 divisors, whose sum is σ = 15907667709024. Its totient is φ = 995264299008.

The previous prime is 4010241021607. The next prime is 4010241021719. The reversal of 4010241021696 is 6961201420104.

4010241021696 is a `hidden beast` number, since 40 + 102 + 410 + 2 + 16 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4010241021696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 673647456 + ... + 673653408.

Almost surely, 2^{4010241021696} 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 4010241021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953833854512).

4010241021696 is an abundant number, since it is smaller than the sum of its proper divisors (11897426687328).

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

4010241021696 is a wasteful number, since it uses less digits than its factorization.

4010241021696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6028 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4010241021696 in words is "four trillion, ten billion, two hundred forty-one million, twenty-one thousand, six hundred ninety-six".