4800401424 has 360 divisors, whose sum is σ = 17134528320. Its totient is φ = 1243178496.

The previous prime is 4800401393. The next prime is 4800401443. The reversal of 4800401424 is 4241040084.

It is a happy number.

4800401424 is a `hidden beast` number, since 480 + 0 + 40 + 142 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5411509 + ... + 5412395.

It is an arithmetic number, because the mean of its divisors is an integer number (47595912).

Almost surely, 2^4800401424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567264160).

4800401424 is an abundant number, since it is smaller than the sum of its proper divisors (12334126896).

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

4800401424 is a wasteful number, since it uses less digits than its factorization.

4800401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4800401424 is about 69284.9292703687. The cubic root of 4800401424 is about 1686.9123534752.

The spelling of 4800401424 in words is "four billion, eight hundred million, four hundred one thousand, four hundred twenty-four".