4101995520 has 616 divisors, whose sum is σ = 16968221664. Its totient is φ = 931627008.

The previous prime is 4101995503. The next prime is 4101995551. The reversal of 4101995520 is 255991014.

4101995520 is a `hidden beast` number, since 4 + 10 + 1 + 99 + 552 + 0 = 666.

It is a super-2 number, since 2×4101995520² = 33652734492200140800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 26127282 + ... + 26127438.

Almost surely, 2^4101995520 is an apocalyptic number.

4101995520 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 4101995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484110832).

4101995520 is an abundant number, since it is smaller than the sum of its proper divisors (12866226144).

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

4101995520 is an equidigital number, since it uses as much as digits as its factorization.

4101995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 4101995520 is about 64046.8228720207. The cubic root of 4101995520 is about 1600.7802860758.

The spelling of 4101995520 in words is "four billion, one hundred one million, nine hundred ninety-five thousand, five hundred twenty".