5338794240 has 720 divisors, whose sum is σ = 21876302448. Its totient is φ = 1231552512.

The previous prime is 5338794233. The next prime is 5338794283. The reversal of 5338794240 is 424978335.

5338794240 is a `hidden beast` number, since 5 + 338 + 79 + 4 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 400640256 + 4938153984 = 20016^2 + 70272^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22913164 + ... + 22913396.

Almost surely, 2^5338794240 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 5338794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938151224).

5338794240 is an abundant number, since it is smaller than the sum of its proper divisors (16537508208).

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

5338794240 is a wasteful number, since it uses less digits than its factorization.

5338794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5338794240 is about 73067.0530403410. The cubic root of 5338794240 is about 1747.7570437341.

The spelling of 5338794240 in words is "five billion, three hundred thirty-eight million, seven hundred ninety-four thousand, two hundred forty".