5413484340 has 180 divisors, whose sum is σ = 18667171908. Its totient is φ = 1312312320.

The previous prime is 5413484311. The next prime is 5413484371. The reversal of 5413484340 is 434843145.

5413484340 is a `hidden beast` number, since 541 + 3 + 4 + 84 + 34 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 583512336 + 4829972004 = 24156^2 + 69498^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5413484295 and 5413484304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 182212 + ... + 209828.

Almost surely, 2^5413484340 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 5413484340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333585954).

5413484340 is an abundant number, since it is smaller than the sum of its proper divisors (13253687568).

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

5413484340 is a wasteful number, since it uses less digits than its factorization.

5413484340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27660 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5413484340 is about 73576.3843906453. The cubic root of 5413484340 is about 1755.8697420342.

The spelling of 5413484340 in words is "five billion, four hundred thirteen million, four hundred eighty-four thousand, three hundred forty".