5413427712 has 720 divisors, whose sum is σ = 20942201280. Its totient is φ = 1313832960.

The previous prime is 5413427671. The next prime is 5413427749. The reversal of 5413427712 is 2177243145.

5413427712 is a `hidden beast` number, since 541 + 3 + 42 + 7 + 71 + 2 = 666.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74156508 + ... + 74156580.

Almost surely, 2^5413427712 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 5413427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10471100640).

5413427712 is an abundant number, since it is smaller than the sum of its proper divisors (15528773568).

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

5413427712 is a wasteful number, since it uses less digits than its factorization.

5413427712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5413427712 is about 73575.9995650756. Note that the first 3 decimals coincide. The cubic root of 5413427712 is about 1755.8636195610.

The spelling of 5413427712 in words is "five billion, four hundred thirteen million, four hundred twenty-seven thousand, seven hundred twelve".