4126413312 has 240 divisors, whose sum is σ = 14328874560. Its totient is φ = 1116758016.

The previous prime is 4126413299. The next prime is 4126413329. The reversal of 4126413312 is 2133146214.

It is a happy number.

4126413312 is a `hidden beast` number, since 4 + 1 + 2 + 641 + 3 + 3 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609498 + ... + 616230.

It is an arithmetic number, because the mean of its divisors is an integer number (59703644).

Almost surely, 2^4126413312 is an apocalyptic number.

4126413312 is a gapful number since it is divisible by the number (42) 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 4126413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164437280).

4126413312 is an abundant number, since it is smaller than the sum of its proper divisors (10202461248).

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

4126413312 is a wasteful number, since it uses less digits than its factorization.

4126413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6764 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4126413312 is about 64237.1645700524. The cubic root of 4126413312 is about 1603.9503055688.

Adding to 4126413312 its reverse (2133146214), we get a palindrome (6259559526).

The spelling of 4126413312 in words is "four billion, one hundred twenty-six million, four hundred thirteen thousand, three hundred twelve".