4140790626816 has 200 divisors, whose sum is σ = 12376260056160. Its totient is φ = 1378354931712.

The previous prime is 4140790626809. The next prime is 4140790626827. The reversal of 4140790626816 is 6186260970414.

4140790626816 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 7 + 9 + 0 + 626 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×4140790626816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30081475 + ... + 30218813.

Almost surely, 2^{4140790626816} 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 4140790626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188130028080).

4140790626816 is an abundant number, since it is smaller than the sum of its proper divisors (8235469429344).

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

4140790626816 is an equidigital number, since it uses as much as digits as its factorization.

4140790626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138096 (or 138071 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4140790626816 in words is "four trillion, one hundred forty billion, seven hundred ninety million, six hundred twenty-six thousand, eight hundred sixteen".