4140210016512 has 216 divisors, whose sum is σ = 12094179901440. Its totient is φ = 1361943797760.

The previous prime is 4140210016511. The next prime is 4140210016639. The reversal of 4140210016512 is 2156100120414.

4140210016512 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 2 + 1 + 0 + 0 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×4140210016512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4140210016511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 505454337 + ... + 505462527.

Almost surely, 2^{4140210016512} 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 4140210016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047089950720).

4140210016512 is an abundant number, since it is smaller than the sum of its proper divisors (7953969884928).

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

4140210016512 is a wasteful number, since it uses less digits than its factorization.

4140210016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11069 (or 11052 counting only the distinct ones).

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

Adding to 4140210016512 its reverse (2156100120414), we get a palindrome (6296310136926).

The spelling of 4140210016512 in words is "four trillion, one hundred forty billion, two hundred ten million, sixteen thousand, five hundred twelve".