5409840960 has 336 divisors, whose sum is σ = 19970496000. Its totient is φ = 1392297984.

The previous prime is 5409840959. The next prime is 5409840967. The reversal of 5409840960 is 690489045.

It is a happy number.

5409840960 is a `hidden beast` number, since 540 + 9 + 8 + 40 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409840967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253841 + ... + 2256239.

It is an arithmetic number, because the mean of its divisors is an integer number (59436000).

Almost surely, 2^5409840960 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 5409840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248000).

5409840960 is an abundant number, since it is smaller than the sum of its proper divisors (14560655040).

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

5409840960 is a wasteful number, since it uses less digits than its factorization.

5409840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5409840960 is about 73551.6210562351. The cubic root of 5409840960 is about 1755.4757421624.

The spelling of 5409840960 in words is "five billion, four hundred nine million, eight hundred forty thousand, nine hundred sixty".