4334481840 has 320 divisors, whose sum is σ = 15551004672. Its totient is φ = 989184000.

The previous prime is 4334481821. The next prime is 4334481841. The reversal of 4334481840 is 481844334.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4334481841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3765265 + ... + 3766415.

Almost surely, 2^4334481840 is an apocalyptic number.

4334481840 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 4334481840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775502336).

4334481840 is an abundant number, since it is smaller than the sum of its proper divisors (11216522832).

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

4334481840 is a wasteful number, since it uses less digits than its factorization.

4334481840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4334481840 is about 65836.7818168537. The cubic root of 4334481840 is about 1630.4684365076.

The spelling of 4334481840 in words is "four billion, three hundred thirty-four million, four hundred eighty-one thousand, eight hundred forty".