4200488320 has 128 divisors (see below), whose sum is σ = 11589027840. Its totient is φ = 1426028544.

The previous prime is 4200488311. The next prime is 4200488323. The reversal of 4200488320 is 238840024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200488323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 456889 + ... + 465991.

It is an arithmetic number, because the mean of its divisors is an integer number (90539280).

Almost surely, 2^4200488320 is an apocalyptic number.

4200488320 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 4200488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794513920).

4200488320 is an abundant number, since it is smaller than the sum of its proper divisors (7388539520).

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

4200488320 is a wasteful number, since it uses less digits than its factorization.

4200488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 4200488320 is about 64811.1743451698. The cubic root of 4200488320 is about 1613.4911729249.

The spelling of 4200488320 in words is "four billion, two hundred million, four hundred eighty-eight thousand, three hundred twenty".