4338315540 has 288 divisors, whose sum is σ = 14559985440. Its totient is φ = 1039122432.

The previous prime is 4338315539. The next prime is 4338315557. The reversal of 4338315540 is 455138334.

4338315540 is a `hidden beast` number, since 4 + 33 + 83 + 1 + 5 + 540 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1726901136 + 2611414404 = 41556^2 + 51102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4338315495 and 4338315504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18619264 + ... + 18619496.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505).

Almost surely, 2^4338315540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338315540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279992720).

4338315540 is an abundant number, since it is smaller than the sum of its proper divisors (10221669900).

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

4338315540 is a wasteful number, since it uses less digits than its factorization.

4338315540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4338315540 is about 65865.8905656031. The cubic root of 4338315540 is about 1630.9489925948.

The spelling of 4338315540 in words is "four billion, three hundred thirty-eight million, three hundred fifteen thousand, five hundred forty".