4126096960 has 112 divisors (see below), whose sum is σ = 10369296000. Its totient is φ = 1560694784.

The previous prime is 4126096927. The next prime is 4126096967. The reversal of 4126096960 is 696906214.

It is a happy number.

It is a super-2 number, since 2×4126096960² = 34049352246642483200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4126096967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 651891 + ... + 658189.

It is an arithmetic number, because the mean of its divisors is an integer number (92583000).

Almost surely, 2^4126096960 is an apocalyptic number.

4126096960 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 4126096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184648000).

4126096960 is an abundant number, since it is smaller than the sum of its proper divisors (6243199040).

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

4126096960 is a wasteful number, since it uses less digits than its factorization.

4126096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 4126096960 is about 64234.7021476709. The cubic root of 4126096960 is about 1603.9093155034.

The spelling of 4126096960 in words is "four billion, one hundred twenty-six million, ninety-six thousand, nine hundred sixty".