4191975120 has 120 divisors (see below), whose sum is σ = 13279176864. Its totient is φ = 1093937408.

The previous prime is 4191975043. The next prime is 4191975121. The reversal of 4191975120 is 215791914.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191975121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526207 + ... + 534113.

Almost surely, 2^4191975120 is an apocalyptic number.

4191975120 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 4191975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639588432).

4191975120 is an abundant number, since it is smaller than the sum of its proper divisors (9087201744).

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

4191975120 is a wasteful number, since it uses less digits than its factorization.

4191975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8017 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 4191975120 is about 64745.4640882278. The cubic root of 4191975120 is about 1612.4004058433.

The spelling of 4191975120 in words is "four billion, one hundred ninety-one million, nine hundred seventy-five thousand, one hundred twenty".