4065269040 has 320 divisors, whose sum is σ = 16072780800. Its totient is φ = 925157376.

The previous prime is 4065269009. The next prime is 4065269053. The reversal of 4065269040 is 409625604.

4065269040 is a `hidden beast` number, since 4 + 0 + 6 + 526 + 90 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4065268986 and 4065269004.

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, 4732131 + ... + 4732989.

It is an arithmetic number, because the mean of its divisors is an integer number (50227440).

Almost surely, 2^4065269040 is an apocalyptic number.

4065269040 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 4065269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036390400).

4065269040 is an abundant number, since it is smaller than the sum of its proper divisors (12007511760).

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

4065269040 is a wasteful number, since it uses less digits than its factorization.

4065269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4065269040 is about 63759.4623565789. The cubic root of 4065269040 is about 1595.9885238589.

The spelling of 4065269040 in words is "four billion, sixty-five million, two hundred sixty-nine thousand, forty".