4201279488 has 416 divisors, whose sum is σ = 14615365120. Its totient is φ = 1182449664.

The previous prime is 4201279477. The next prime is 4201279501. The reversal of 4201279488 is 8849721024.

4201279488 is a `hidden beast` number, since 42 + 0 + 127 + 9 + 488 = 666.

It is a nialpdrome in base 12.

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 31 ways as a sum of consecutive naturals, for example, 62705631 + ... + 62705697.

Almost surely, 2^4201279488 is an apocalyptic number.

4201279488 is a gapful number since it is divisible by the number (48) 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 4201279488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307682560).

4201279488 is an abundant number, since it is smaller than the sum of its proper divisors (10414085632).

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

4201279488 is an frugal number, since it uses more digits than its factorization.

4201279488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

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

The square root of 4201279488 is about 64817.2776966142. The cubic root of 4201279488 is about 1613.5924676910.

The spelling of 4201279488 in words is "four billion, two hundred one million, two hundred seventy-nine thousand, four hundred eighty-eight".