4261331624 has 48 divisors (see below), whose sum is σ = 9101604960. Its totient is φ = 1851476000.

The previous prime is 4261331623. The next prime is 4261331629.

4261331624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4261331621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2936099 + ... + 2937549.

It is an arithmetic number, because the mean of its divisors is an integer number (189616770).

Almost surely, 2^4261331624 is an apocalyptic number.

4261331624 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 4261331624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550802480).

4261331624 is an abundant number, since it is smaller than the sum of its proper divisors (4840273336).

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

4261331624 is a wasteful number, since it uses less digits than its factorization.

4261331624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 1487 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 4261331624 is about 65278.8757868884. The cubic root of 4261331624 is about 1621.2442333774.

The spelling of 4261331624 in words is "four billion, two hundred sixty-one million, three hundred thirty-one thousand, six hundred twenty-four".