4166126345640 has 256 divisors, whose sum is σ = 15253069824000. Its totient is φ = 889762083840.

The previous prime is 4166126345603. The next prime is 4166126345651. The reversal of 4166126345640 is 465436216614.

It is a self number, because there is not a number n which added to its sum of digits gives 4166126345640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2003280 + ... + 3513599.

It is an arithmetic number, because the mean of its divisors is an integer number (59582304000).

Almost surely, 2^{4166126345640} is an apocalyptic number.

4166126345640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166126345640 is an abundant number, since it is smaller than the sum of its proper divisors (11086943478360).

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

4166126345640 is a wasteful number, since it uses less digits than its factorization.

4166126345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516960 (or 5516956 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 4166126345640 in words is "four trillion, one hundred sixty-six billion, one hundred twenty-six million, three hundred forty-five thousand, six hundred forty".