5409705840 has 960 divisors, whose sum is σ = 23449927680. Its totient is φ = 1016064000.

The previous prime is 5409705827. The next prime is 5409705853. The reversal of 5409705840 is 485079045.

It is an interprime number because it is at equal distance from previous prime (5409705827) and next prime (5409705853).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5409705792 and 5409705801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76193005 + ... + 76193075.

It is an arithmetic number, because the mean of its divisors is an integer number (24427008).

Almost surely, 2^5409705840 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 5409705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724963840).

5409705840 is an abundant number, since it is smaller than the sum of its proper divisors (18040221840).

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

5409705840 is a wasteful number, since it uses less digits than its factorization.

5409705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5409705840 is about 73550.7025119407. The cubic root of 5409705840 is about 1755.4611267077.

The spelling of 5409705840 in words is "five billion, four hundred nine million, seven hundred five thousand, eight hundred forty".