4121126416 has 45 divisors (see below), whose sum is σ = 8782571343. Its totient is φ = 1871955360.

The previous prime is 4121126411. The next prime is 4121126447. The reversal of 4121126416 is 6146211214.

The square root of 4121126416 is 64196.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4121126411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2823895 + ... + 2825353.

Almost surely, 2^4121126416 is an apocalyptic number.

4121126416 is the 64196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121126416

4121126416 is an abundant number, since it is smaller than the sum of its proper divisors (4661444927).

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

4121126416 is an equidigital number, since it uses as much as digits as its factorization.

4121126416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 1472 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The cubic root of 4121126416 is about 1603.2650015710.

Multiplying 4121126416 by its product of digits (2304), we get a square (9495075262464 = 3081408²).

The spelling of 4121126416 in words is "four billion, one hundred twenty-one million, one hundred twenty-six thousand, four hundred sixteen".