4511220480 has 360 divisors, whose sum is σ = 17388855792. Its totient is φ = 1110122496.

The previous prime is 4511220383. The next prime is 4511220499. The reversal of 4511220480 is 840221154.

4511220480 is a `hidden beast` number, since 451 + 1 + 2 + 204 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4511220480² = 40702220438342860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1346167 + ... + 1349513.

Almost surely, 2^4511220480 is an apocalyptic number.

4511220480 is a gapful number since it is divisible by the number (40) 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 4511220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694427896).

4511220480 is an abundant number, since it is smaller than the sum of its proper divisors (12877635312).

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

4511220480 is a wasteful number, since it uses less digits than its factorization.

4511220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4511220480 is about 67165.6197767876. The cubic root of 4511220480 is about 1652.3346784442.

The spelling of 4511220480 in words is "four billion, five hundred eleven million, two hundred twenty thousand, four hundred eighty".