5405040416 has 48 divisors (see below), whose sum is σ = 11019146040. Its totient is φ = 2606714880.

The previous prime is 5405040343. The next prime is 5405040419. The reversal of 5405040416 is 6140405045.

It can be written as a sum of positive squares in 4 ways, for example, as 4643059600 + 761980816 = 68140^2 + 27604^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5405040419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1182776 + ... + 1187336.

Almost surely, 2^5405040416 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 5405040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509573020).

5405040416 is an abundant number, since it is smaller than the sum of its proper divisors (5614105624).

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

5405040416 is a wasteful number, since it uses less digits than its factorization.

5405040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5405040416 is about 73518.9799711612. The cubic root of 5405040416 is about 1754.9563348741.

The spelling of 5405040416 in words is "five billion, four hundred five million, forty thousand, four hundred sixteen".