4262112624 has 160 divisors (see below), whose sum is σ = 14170521600. Its totient is φ = 1071302400.

The previous prime is 4262112599. The next prime is 4262112637.

4262112624 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4262112591 and 4262112600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95977 + ... + 133175.

It is an arithmetic number, because the mean of its divisors is an integer number (88565760).

Almost surely, 2^4262112624 is an apocalyptic number.

4262112624 is a gapful number since it is divisible by the number (44) 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 4262112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085260800).

4262112624 is an abundant number, since it is smaller than the sum of its proper divisors (9908408976).

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

4262112624 is a wasteful number, since it uses less digits than its factorization.

4262112624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37259 (or 37253 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4262112624 is about 65284.8575398614. The cubic root of 4262112624 is about 1621.3432724033.

It can be divided in two parts, 4262 and 112624, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 4262112624 in words is "four billion, two hundred sixty-two million, one hundred twelve thousand, six hundred twenty-four".