5409405120 has 224 divisors, whose sum is σ = 19899099648. Its totient is φ = 1219387392.

The previous prime is 5409405019. The next prime is 5409405149. The reversal of 5409405120 is 215049045.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485047 + ... + 496073.

Almost surely, 2^5409405120 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 5409405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949549824).

5409405120 is an abundant number, since it is smaller than the sum of its proper divisors (14489694528).

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

5409405120 is a wasteful number, since it uses less digits than its factorization.

5409405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5409405120 is about 73548.6581794665. The cubic root of 5409405120 is about 1755.4285980104.

The spelling of 5409405120 in words is "five billion, four hundred nine million, four hundred five thousand, one hundred twenty".