4135072020 has 192 divisors, whose sum is σ = 12569001984. Its totient is φ = 1012746240.

The previous prime is 4135072001. The next prime is 4135072037. The reversal of 4135072020 is 202705314.

It is a super-2 number, since 2×4135072020² = 34197641221173760800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6972844 + ... + 6973436.

It is an arithmetic number, because the mean of its divisors is an integer number (65463552).

Almost surely, 2^4135072020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135072020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284500992).

4135072020 is an abundant number, since it is smaller than the sum of its proper divisors (8433929964).

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

4135072020 is a wasteful number, since it uses less digits than its factorization.

4135072020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4135072020 is about 64304.5256572195. The cubic root of 4135072020 is about 1605.0714111141.

Adding to 4135072020 its reverse (202705314), we get a palindrome (4337777334).

The spelling of 4135072020 in words is "four billion, one hundred thirty-five million, seventy-two thousand, twenty".