4065914880 has 624 divisors, whose sum is σ = 15742446720. Its totient is φ = 1003290624.

The previous prime is 4065914863. The next prime is 4065914887. The reversal of 4065914880 is 884195604.

It is a super-2 number, since 2×4065914880² = 33063327622810828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065914887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94556139 + ... + 94556181.

It is an arithmetic number, because the mean of its divisors is an integer number (25228280).

Almost surely, 2^4065914880 is an apocalyptic number.

4065914880 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 4065914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871223360).

4065914880 is an abundant number, since it is smaller than the sum of its proper divisors (11676531840).

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

4065914880 is an equidigital number, since it uses as much as digits as its factorization.

4065914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4065914880 is about 63764.5268154638. The cubic root of 4065914880 is about 1596.0730363999.

4065914880 divided by its product of nonzero digits (276480) gives a triangular number (14706 = T₁₇₁).

The spelling of 4065914880 in words is "four billion, sixty-five million, nine hundred fourteen thousand, eight hundred eighty".