4126845565920 has 1152 divisors, whose sum is σ = 16797109916160. Its totient is φ = 842020945920.

The previous prime is 4126845565897. The next prime is 4126845565961. The reversal of 4126845565920 is 295655486214.

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 191 ways as a sum of consecutive naturals, for example, 6666955371 + ... + 6666955989.

It is an arithmetic number, because the mean of its divisors is an integer number (14580824580).

Almost surely, 2^{4126845565920} is an apocalyptic number.

4126845565920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126845565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398554958080).

4126845565920 is an abundant number, since it is smaller than the sum of its proper divisors (12670264350240).

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

4126845565920 is a wasteful number, since it uses less digits than its factorization.

4126845565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 4126845565920 in words is "four trillion, one hundred twenty-six billion, eight hundred forty-five million, five hundred sixty-five thousand, nine hundred twenty".