4881552480 has 360 divisors, whose sum is σ = 20043123408. Its totient is φ = 1115638272.

The previous prime is 4881552479. The next prime is 4881552491. The reversal of 4881552480 is 842551884.

4881552480 is a `hidden beast` number, since 48 + 8 + 1 + 5 + 524 + 80 = 666.

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

It is a super-2 number, since 2×4881552480² = 47659109229988300800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 631197 + ... + 638883.

Almost surely, 2^4881552480 is an apocalyptic number.

4881552480 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 4881552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021561704).

4881552480 is an abundant number, since it is smaller than the sum of its proper divisors (15161570928).

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

4881552480 is a wasteful number, since it uses less digits than its factorization.

4881552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 4881552480 is about 69868.1077459523. The cubic root of 4881552480 is about 1696.3650684102.

The spelling of 4881552480 in words is "four billion, eight hundred eighty-one million, five hundred fifty-two thousand, four hundred eighty".