5461217424 has 480 divisors, whose sum is σ = 18589286400. Its totient is φ = 1528450560.

The previous prime is 5461217407. The next prime is 5461217429. The reversal of 5461217424 is 4247121645.

5461217424 is a `hidden beast` number, since 5 + 4 + 612 + 17 + 4 + 24 = 666.

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 (5461217429) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 43001649 + ... + 43001775.

It is an arithmetic number, because the mean of its divisors is an integer number (38727680).

Almost surely, 2^5461217424 is an apocalyptic number.

5461217424 is a gapful number since it is divisible by the number (54) 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 5461217424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294643200).

5461217424 is an abundant number, since it is smaller than the sum of its proper divisors (13128068976).

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

5461217424 is a wasteful number, since it uses less digits than its factorization.

5461217424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5461217424 is about 73900.0502300235. The cubic root of 5461217424 is about 1761.0154075194.

The spelling of 5461217424 in words is "five billion, four hundred sixty-one million, two hundred seventeen thousand, four hundred twenty-four".