4065120000 has 360 divisors, whose sum is σ = 15037748880. Its totient is φ = 1082880000.

The previous prime is 4065119999. The next prime is 4065120077. The reversal of 4065120000 is 215604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4065120000² = 33050401228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319530 + ... + 4320470.

Almost surely, 2^4065120000 is an apocalyptic number.

4065120000 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 4065120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518874440).

4065120000 is an abundant number, since it is smaller than the sum of its proper divisors (10972628880).

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

4065120000 is an frugal number, since it uses more digits than its factorization.

4065120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4065120000 is about 63758.2935781691. The cubic root of 4065120000 is about 1595.9690196937.

Adding to 4065120000 its reverse (215604), we get a palindrome (4065335604).

The spelling of 4065120000 in words is "four billion, sixty-five million, one hundred twenty thousand".