4880917440 has 784 divisors, whose sum is σ = 20655076800. Its totient is φ = 1097349120.

The previous prime is 4880917439. The next prime is 4880917463. The reversal of 4880917440 is 447190884.

4880917440 is a `hidden beast` number, since 48 + 80 + 91 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

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 111 ways as a sum of consecutive naturals, for example, 80015010 + ... + 80015070.

Almost surely, 2^4880917440 is an apocalyptic number.

4880917440 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 4880917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10327538400).

4880917440 is an abundant number, since it is smaller than the sum of its proper divisors (15774159360).

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

4880917440 is an frugal number, since it uses more digits than its factorization.

4880917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4880917440 is about 69863.5630353906. The cubic root of 4880917440 is about 1696.2915053109.

The spelling of 4880917440 in words is "four billion, eight hundred eighty million, nine hundred seventeen thousand, four hundred forty".