5338045440 has 1056 divisors, whose sum is σ = 24320325120. Its totient is φ = 1051066368.

The previous prime is 5338045439. The next prime is 5338045501. The reversal of 5338045440 is 445408335.

5338045440 is a `hidden beast` number, since 5 + 33 + 80 + 4 + 544 + 0 = 666.

It is a super-3 number, since 3×5338045440³ (a number of 30 digits) contains 333 as substring.

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 = 5338045395 and 5338045404.

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, 79672287 + ... + 79672353.

Almost surely, 2^5338045440 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 5338045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160162560).

5338045440 is an abundant number, since it is smaller than the sum of its proper divisors (18982279680).

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

5338045440 is a wasteful number, since it uses less digits than its factorization.

5338045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5338045440 is about 73061.9288001624. The cubic root of 5338045440 is about 1747.6753285498.

The spelling of 5338045440 in words is "five billion, three hundred thirty-eight million, forty-five thousand, four hundred forty".