5411248416 has 288 divisors, whose sum is σ = 18459342720. Its totient is φ = 1527330816.

The previous prime is 5411248411. The next prime is 5411248439. The reversal of 5411248416 is 6148421145.

5411248416 is a `hidden beast` number, since 54 + 112 + 484 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5411248411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4843890 + ... + 4845006.

It is an arithmetic number, because the mean of its divisors is an integer number (64094940).

Almost surely, 2^5411248416 is an apocalyptic number.

5411248416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5411248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229671360).

5411248416 is an abundant number, since it is smaller than the sum of its proper divisors (13048094304).

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

5411248416 is a wasteful number, since it uses less digits than its factorization.

5411248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5411248416 is about 73561.1882448890. The cubic root of 5411248416 is about 1755.6279672554.

The spelling of 5411248416 in words is "five billion, four hundred eleven million, two hundred forty-eight thousand, four hundred sixteen".