4127397120 has 1080 divisors, whose sum is σ = 18946996992. Its totient is φ = 839393280.

The previous prime is 4127397083. The next prime is 4127397121. The reversal of 4127397120 is 217937214.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127397121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87816937 + ... + 87816983.

Almost surely, 2^4127397120 is an apocalyptic number.

4127397120 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 4127397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473498496).

4127397120 is an abundant number, since it is smaller than the sum of its proper divisors (14819599872).

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

4127397120 is a wasteful number, since it uses less digits than its factorization.

4127397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4127397120 is about 64244.8217368528. The cubic root of 4127397120 is about 1604.0777652320.

The spelling of 4127397120 in words is "four billion, one hundred twenty-seven million, three hundred ninety-seven thousand, one hundred twenty".