4801550040 has 576 divisors, whose sum is σ = 19999699200. Its totient is φ = 975753216.

The previous prime is 4801550011. The next prime is 4801550071. The reversal of 4801550040 is 400551084.

It is a junction number, because it is equal to n+sod(n) for n = 4801549986 and 4801550013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13837147 + ... + 13837493.

It is an arithmetic number, because the mean of its divisors is an integer number (34721700).

Almost surely, 2^4801550040 is an apocalyptic number.

4801550040 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 4801550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999849600).

4801550040 is an abundant number, since it is smaller than the sum of its proper divisors (15198149160).

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

4801550040 is a wasteful number, since it uses less digits than its factorization.

4801550040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4801550040 is about 69293.2178499455. The cubic root of 4801550040 is about 1687.0468880574.

The spelling of 4801550040 in words is "four billion, eight hundred one million, five hundred fifty thousand, forty".