4901284080 has 1200 divisors, whose sum is σ = 22988528640. Its totient is φ = 944317440.

The previous prime is 4901284067. The next prime is 4901284111. The reversal of 4901284080 is 804821094.

4901284080 is a `hidden beast` number, since 490 + 12 + 84 + 0 + 80 = 666.

It is a super-2 number, since 2×4901284080² = 48045171265722892800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 104282617 + ... + 104282663.

Almost surely, 2^4901284080 is an apocalyptic number.

4901284080 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 4901284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494264320).

4901284080 is an abundant number, since it is smaller than the sum of its proper divisors (18087244560).

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

4901284080 is a wasteful number, since it uses less digits than its factorization.

4901284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4901284080 is about 70009.1713991817. The cubic root of 4901284080 is about 1698.6476072371.

The spelling of 4901284080 in words is "four billion, nine hundred one million, two hundred eighty-four thousand, eighty".