4065065040 has 80 divisors (see below), whose sum is σ = 12648404736. Its totient is φ = 1080000000.

The previous prime is 4065064951. The next prime is 4065065113. The reversal of 4065065040 is 405605604.

4065065040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4065064989 and 4065065007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33790 + ... + 96290.

Almost surely, 2^4065065040 is an apocalyptic number.

4065065040 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 4065065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324202368).

4065065040 is an abundant number, since it is smaller than the sum of its proper divisors (8583339696).

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

4065065040 is a wasteful number, since it uses less digits than its factorization.

4065065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62788 (or 62782 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4065065040 is about 63757.8625739602. The cubic root of 4065065040 is about 1595.9618272162.

The spelling of 4065065040 in words is "four billion, sixty-five million, sixty-five thousand, forty".